# Decimal to Fraction Calculator that Supports Recurring Decimals – All Math Symbols (2023)

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Welcome to the decimal to fraction calculator, where you can easily convert decimals into fractions, including improper fractions and mixed fractions.

Eg, convert 0.513 to fraction. The trailing decimal place to repeat is 13 and its length is 2. So, enter 0.513 into the first input box and enter 2 into the second input box.

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## What are decimals and fractions?

Before conversion, we should understand what is a decimal and what is a fraction?

Decimal is a special form of real number, usually composed of 3 parts: integer part, decimal point and decimal part. The decimal point is in the middle of integer and decimal. Among them, the number whose integer part is zero is called pure decimal. Numbers whose integer part is not zero are called mixed decimals. For example, 0.25 is a pure decimal, 1.53 is a mixed decimal.

According to the length of the decimal part, it can be divided into finite decimals and infinite decimals. Infinite decimals include: infinite recurring decimals and infinite non-recurring decimals. Such as, 0.25 is a finite decimal, 0.3 is an infinite recurring decimal. The mathematical symbols π and e are infinite non-recurring decimals. Here, we mainly discuss two kinds of more commonly used decimals, finite decimals and infinite recurring decimals.

Fraction refers to the fraction of a number to another number, or the ratio of an event to all events. The numerator at the top and the denominator at the bottom. For example, 25 means that a whole number is divided into five equal parts, and 2 of them are taken. Usually, decimals and fractions can be converted to each other, let’s see how they are converted.

The following 4 steps are required to convert decimals to fractions:

• 1Convert the decimal to an integer equation.
• 2Convert integer equations into a fraction.
• 3Find the greatest common divisor of the numerator and denominator in the fraction.
• 4Simplify the fraction and complete the conversion.

Let’s explain in detail how each step is operated.

### Step 1. Convert the decimal to an integer equation

What does that mean? How to convert the decimal to an integer? It’s very simple, just multiply it by the Nth power of 10, where N represents the length of decimal part. For example, 0.25, the length of fractional part is 2, so 0.25 multiplied by the square of 10 can be converted into an integer.

0.25 * 102 = 25.

For another example, 1.3452 has 4 decimal places, so multiply by 10 to the 4th power.

1.3452 * 104 = 13452.

At this point, some people may have questions: What if it is an infinite recurring decimal? The length of the decimal is infinite. How to express the Nth power of 10? Don’t worry, there is a separate chapter below to explain in detail, you just need to remember this step: convert the decimal to an integer equation.

### Step 2: Convert the integer equation to the fraction

We have already converted the decimal into an integer equation in step 1. At this time, both sides are divided by the Nth power of 10 to get the initial form of decimal to fraction.

0.25 * 102 = 25

0.25 = 25102

0.25 = 25100

25100 is the initial fraction form of decimal 0.25.

(Video) Expressing recurring decimals as a fraction using a Casio calculator

### Step 3: Find the greatest common divisor

In step 2 we have obtained the initial form of the score. Now, we need to simplify the fraction. Therefore, we must find the greatest common divisor of the numerator and denominator first. The greatest common divisor of 25 and 100 is 25.

### Step 4: Simplify the fraction

With the greatest common divisor, we can simplify the fraction

0.25 = 25100 = 14

Therefore, the fraction form of 0.25 is 14.

This is the complete conversion steps from decimal to fraction. According to these 4 steps, the conversion from decimal to fraction can be realized.

## Convert decimals to fractions examples

### What is 0.06 as a fraction?

According to the 4 steps provided above

0.06 * 102 = 6

0.06 * 100 = 6

0.06 = 6100

6100 is the initial fraction form of decimal 0.06. Next, find the greatest common divisor of 6 and 100. Their greatest common divisor is 2.

0.06 = 6100
0.06 = 350

So, the fraction form of 0.06 is 350.

### What is 0.125 as a fraction?

According to the 4 steps provided above

0.125 * 103 = 125

0.125 * 1000 = 125

0.125 = 1251000

1251000 is the initial fraction form of decimal 0.125. Next, find the greatest common divisor of 125 and 1000. Their greatest common divisor is 126.

0.125 = 1251000
0.125 = 18

So, the fraction form of 0.125 is 18.

### What is 3.1465 percent as a fraction?

(Video) Pre-Algebra 20 - Converting Repeating Decimal Numbers to Fractions

According to the 4 steps provided above

3.1465 * 104 = 31465

3.1465 * 10000 = 31465

3.1465 = 3146510000

3146510000 is the initial fraction form of decimal 3.1465. Next, find the greatest common divisor of 31465 and 10000. Their greatest common divisor is 5.

3.1465 = 3146510000
3.1465 = 62932000
3.1465 = 32932000

So, the fraction form of 3.1465 is 32932000.

It can be seen that these conversion steps are also applicable to decimals greater than 1. When it is a decimal greater than 1, the converted fraction is an improper fraction, and after simplification, it is a mixed fraction.

Wait, did you forget another question? How to convert an infinite recurring decimal to a fraction? The next content is the key part.

Follow the first step above to convert fractions to integers. So, how to convert an infinite recurring decimal into an integer? Let’s start with a few examples.

### Example 1:

0.6, there is 1 trailing decimal place is repeated. Let x is equal to 0.6, then 10 * x = 6.6.

10x – x = 6.6 – 0.6

9x = 6

x = 69

69 is the initial fraction form of decimal 0.6. Next, find the greatest common divisor and simplify it to complete the conversion.

### Example 2:

1.23, repeat with 2 trailing decimal places. Suppose x is equal to 1.23, then 100x = 123.23, so

100x – x = 123.23 – 1.23

99x = 122

x = 12299

12299 is the initial fraction form of decimal 1.23. Now, find the greatest common divisor and simplify it to complete the conversion.

### Example 3:

3.102, repeat with 3 trailing decimal places. Suppose x is equal to 3.102, then 1000x = 3102.102, so

1000x – x = 3102.102 – 3.102

999x = 3102 – 3

x = 3099999

3099999 is the initial fraction form of decimal 3.102, and the next step is to simplify the fraction.

Did you find any rules through observation?

Yes, the number of digits in the denominator is related to the number of trailing decimal places to repeat. Repeat with 1 trailing decimal place, the denominator is a 9. Repeat with 2 trailing decimal places, the denominator is 99. Repeat with 3 trailing decimal places, the denominator is 999. By analogy, repeat with N trailing decimal places, the denominator is contained N 9s. So, what about the numerator? The numerator is equal to the number consisting of the whole number part and the trailing decimal places to be repeated minus the whole number part. • 0.6, the whole number part is 0, the trailing decimal place to be repeated is 6. So the numerator is 6 – 0 = 6.
• 1.23, the whole number part is 1, the trailing decimal place to be repeated is 23. so the numerator is 123 – 1 = 122.
• 3.102, the whole number part is 3, the trailing decimal place to be repeated is 102. So the numerator is 3102 – 3 = 3099.

Therefore, when the decimal point is immediately followed by the trailing decimal places to be repeated, the general formula for converting infinite loop decimals to fractions can be described as:

Numerator: Number composed of the integer part and the trailing decimal places to be repeated minus the integer partDenominator: N 9s

N represents the number of trailing decimal places to be repeated.

## Another infinite repeating decimal to fraction

Wait a moment, the above three examples are all trailing decimal places to be repeated immediately after the decimal point. If there are other non-recurring decimal places after the decimal point, can the above general formula be used? Similarly, let’s analyze through several examples.

### Example 1:

0.13, the decimal point is followed by an non-recurring decimal place of 1, and then followed by a repeating trailing decimal place of 3. Let x = 0.13, then 10x = 1.3, 100x = 13.3

100x – 10x = 13.3 – 1.3

90x = 12

x = 1290

1290 is the initial fraction form of decimal 0.13.

### Example 2

0.213, the decimal point is followed by two non-recurring decimal places of 21, and then followed by a repeating trailing decimal place of 3. Let x = 0.213, then 100x = 21.3，1000x = 213.3

1000x – 100x = 213.3 – 21.3

900x = 192

x = 192900

192900 is the initial fraction form of decimal 0.213.

### Example 3

2.3513, the decimal point is followed by two non-recurring decimal places of 35, and then followed by two repeating trailing decimal places of 13. Let x = 2.3513, then 100x = 235.13，10000x = 23513.13

(Video) How to Convert Recurring Decimals to Fractions (Proportions Part 6/6) #18

10000x – 100x = 23513.13 – 235.13

9900x = 23513 – 235

x = 232789900

232789900 is the initial fraction form of decimal 2.3513.

### Example 4

8.1233153, the decimal point is followed by four non-recurring decimal places of 1233, and then followed by three repeating trailing decimal places of 153. Let x = 8.1233153, then 10000x = 81233.153，10000000x = 81233153.153

10000000x-10000x = 81233153.153 – 81233.153

9990000x = 81233153 – 81233

x = 811519209990000

811519209990000 is the initial fraction form of decimal 8.1233153.

Through the above 4 examples, we can see that the denominator is composed of 9 and 0. The number of 9 is consistent with the number of trailing decimal places to be repeated, and the number of 0 is consistent with the number of non-recurring decimal places. The numerator is a number composed of the integer part, non-recurring decimal places and the trailing decimal places to be repeated minus the number composed of the integer part and non-recurring decimal places. In summary, the conversion of decimals into fractions can be divided into 3 cases. The general formulas are as follows:

### 1. Finite decimals to fractions formula The initial fraction is:

The numerator is the number that removes the decimal point from decimals.The denominator is equal to the Nth power of 10, where N represents the length of decimal part.

### 2. Infinite recurring decimals to fractions formula one

The decimal point is immediately followed by the trailing decimal places to be repeated. The initial fraction is:

The numerator is composed of the integer part and the trailing decimal places to be repeated minus the integer part.The denominator is N 9s, where N represents the number of trailing decimal places to be repeated.

### 3. Infinite recurring decimals to fractions formula two

The decimal point is followed by the non-recurring decimal places and then the trailing decimal places to be repeated. The initial fraction is:

The numerator is a number composed of the integer part, non-recurring decimal places and the trailing decimal places to be repeated minus the number composed of the integer part and non-recurring decimal places.The denominator is composed of 9 and 0. The number of 9 is consistent with the number of trailing decimal places to be repeated, and the number of 0 is consistent with the number of non-recurring decimal places.

This is the complete content of converting decimals to fractions. The content is complex and recommended to read it several times. If you don’t understand, leave a message for discussion. Of course, if possible, you can use the decimal to fraction calculator provided above directly, which can help you save these tedious steps.

## How to use the decimal to fraction calculator?

The calculator is very simple to use, enter decimals. If it is an infinite recurring decimal, enter the number of trailing decimal places to be repeated, and then click calculate button. The answer will be presented within milliseconds.

### What is 0.375 as a fraction?

0.375 is a finite decimal, which can be converted by the first formula summarized above

0.375 = 3751000 = 38

The second method: calculate by calculator. Enter 0.375 into the first input box and click calculate. You can see that the answer is also 38.

### What is 0.0625 as a fraction?

0.0625 is a finite decimal, which can be converted by the first formula summarized above

0.0625 = 62510000 = 116

The second method: calculate by calculator. Enter 0.0625 into the first input box and click calculate. You can see that the answer is also 116.

(Video) Writing Recurring Decimals as Fractions (Higher Only) | GCSE Maths Tutor

### How to convert 2.3 to a fraction?

2.3 is an infinite recurring decimal, the decimal point is immediately followed by the trailing decimal places to be repeated. Therefore, use the second formula summarized above to convert to the fraction

2.3 = 23 – 29 = 219 = 73

The second method: calculate by calculator. There is 1 repeated trailing decimal place. So, enter 2.3 into the first input box and enter 1 into the second input box, then click calculate. You can see that the answer is also 73.

### How to convert 1.123 to a fraction?

1.123 is an infinite recurring decimal, the decimal point is followed by the non-recurring decimal places. Therefore, use the third formula summarized above to convert to the fraction

1.123 = 1123 – 11990 = 1112990 = 556495

The second method: calculate by calculator. There is 1 non-recurring decimal place and 2 repeated trailing decimal places. So, enter 1.123 into the first input box and enter 2 into the second input box, then click calculate. You can see that the answer is also 556495.

## Common Decimal to Fraction Conversion Table

 Decimal Fraction 0.00000001 1/100000000 0.000001 1/1000000 0.00003 3/100000 0.00004 (repeating 0004) 2/49995 0.00004 1/25000 0.0001 1/10000 0.00015 3/20000 0.0002 1/5000 0.00025 1/4000 0.0003 3/10000 0.0005 1/2000 0.001 (repeating 001) 1/999 0.001 (repeating 01) 1/990 0.001 (repeating 1) 1/900 0.001 1/1000 0.0012 3/2500 0.0014 7/5000 0.001428 357/250000 0.0015625 1/640 0.0016 1/625 0.002 1/500 0.0023 23/10000 0.0025 1/400 0.003 3/1000 0.004 (repeating 004) 4/999 0.004 (repeating 04) 2/495 0.004 (repeating 4) 1/225 0.004 1/250 0.005 (repeating 5) 1/180 0.005 1/200 0.006 3/500 0.007 7/1000 0.0077 (repeating 7) 7/900 0.0078125 1/128 0.008 1/125 0.009 9/1000 0.01 (repeating 01) 1/99 0.01 (repeating 1) 1/90 0.01 1/100 0.0114 57/5000 0.012 3/250 0.014 7/500 0.015 (repeating 15) 1/66 0.015625 1/64 0.018 9/500 0.02 (repeating 02) 2/99 0.02 (repeating 2) 1/45 0.02 1/50 0.025 1/40 0.027 (repeating 27) 3/110 0.03 (repeating 03) 1/33 0.03 (repeating 3) 1/30 0.03 3/100 0.03125 1/32 0.034 (repeating 34) 17/495 0.034 (repeating 4) 31/900 0.034 17/500 0.035 7/200 0.0357 (repeating 57) 59/1650 0.0357 357/10000 0.037 (repeating 37) 37/990 0.04 (repeating 04) 4/99 0.04 (repeating 4) 2/45 0.04 1/25 0.04166 (repeating 66) 1/24 0.043 (repeating 043) 43/999 0.043 (repeating 3) 13/300 0.05 (repeating 05) 5/99 0.05 (repeating 5) 1/18 0.05 1/20 0.057 (repeating 57) 19/330 0.06 (repeating 6) 1/15 0.06 3/50 0.062 (repeating 2) 14/225 0.0625 1/16 0.066 33/500 0.067 67/1000 0.07 (repeating 07) 7/99 0.07 7/100 0.0709 709/10000 0.077 (repeating 7) 7/90 0.08 (repeating 08) 8/99 0.08 (repeating 8) 4/45 0.08 2/25 0.083 (repeating 3) 1/12 0.085 (repeating 5) 77/900 0.089 (repeating 9) 9/100 0.09 (repeating 09) 1/11 0.09 (repeating 9) 1/10 0.091 (repeating 1) 41/450 0.095 (repeating 5) 43/450 0.095 19/200 0.096 (repeating 6) 29/300 0.097 (repeating 7) 22/225 0.098 (repeating 8) 89/900 0.1 (repeating 1) 1/9 0.1 1/10 0.11 11/100 0.116 (repeating 16) 23/198 0.116 (repeating 6) 7/60 0.12 (repeating 12) 4/33 0.12 (repeating 2) 11/90 0.12 3/25 0.123 (repeating 123) 41/333 0.123 (repeating 23) 61/495 0.123 (repeating 3) 37/300 0.123 123/1000 0.125 1/8 0.1255 251/2000 0.128 16/125 0.1283 1283/10000 0.13 (repeating 13) 13/99 0.13 (repeating 3) 2/15 0.13 13/100 0.134 (repeating 34) 133/990 0.135 (repeating 35) 67/495 0.138 69/500 0.14 (repeating 14) 14/99 0.14 (repeating 4) 13/90 0.14 7/50 0.142 (repeating 2) 32/225 0.142 (repeating 42) 47/330 0.1428 357/2500 0.145 (repeating 5) 131/900 0.145 29/200 0.15 (repeating 15) 5/33 0.15 (repeating 5) 7/45 0.15 3/20 0.151 (repeating 51) 5/33 0.152 (repeating 52) 151/990 0.153 (repeating 53) 76/495 0.156 (repeating 6) 47/300 0.15625 5/32 0.158 (repeating 158) 158/999 0.158 (repeating 58) 157/990 0.158 (repeating 8) 143/900 0.16 (repeating 16) 16/99 0.16 (repeating 6) 1/6 0.16 4/25 0.165 33/200 0.1667 1667/10000 0.169 169/1000 0.17 (repeating 17) 17/99 0.17 (repeating 7) 8/45 0.17 17/100 0.173 (repeating 73) 86/495 0.178 89/500 0.18 (repeating 18) 2/11 0.18 (repeating 8) 17/90 0.18 9/50 0.181 181/1000 0.182 (repeating 82) 181/990 0.1875 (repeating 5) 211/1125 0.1875 3/16 0.188 47/250 0.1904 119/625 0.2 (repeating 2) 2/9 0.2 1/5 0.21 (repeating 1) 19/90 0.21 (repeating 21) 7/33 0.2103 (repeating 103) 2101/9990 0.2121 (repeating 1) 1909/9000 0.22 (repeating 22) 2/9 0.22 11/50 0.225 9/40 0.23 (repeating 23) 23/99 0.23 (repeating 3) 7/30 0.23 23/100 0.235 (repeating 35) 233/990 0.235 47/200 0.24 (repeating 24) 8/33 0.24 (repeating 4) 11/45 0.24 6/25 0.245 (repeating 45) 27/110 0.246 (repeating 46) 122/495 0.249 (repeating 249) 83/333 0.25 (repeating 25) 25/99 0.25 (repeating 5) 23/90 0.25 1/4 0.251 (repeating 251) 251/999 0.251 251/1000 0.253 (repeating 53) 251/990 0.256 (repeating 56) 127/495 0.26 (repeating 26) 26/99 0.26 (repeating 6) 4/15 0.26 13/50 0.262 131/500 0.265 53/200 0.27 (repeating 27) 3/11 0.27 (repeating 7) 5/18 0.2727 (repeating 7) 491/1800 0.28 (repeating 28) 28/99 0.28 (repeating 8) 13/45 0.285 (repeating 5) 257/900 0.28571 (repeating 1) 12857/45000 0.3 (repeating 3) 1/3 0.3 3/10 0.305 61/200 0.31 (repeating 1) 14/45 0.31 (repeating 31) 31/99 0.314 (repeating 314) 314/999 0.314 (repeating 4) 283/900 0.318 (repeating 318) 106/333 0.32 (repeating 2) 29/90 0.32 (repeating 32) 32/99 0.3248 203/625 0.325 13/40 0.33 33/100 0.335 67/200 0.34 (repeating 4) 31/90 0.345 69/200 0.35 (repeating 35) 35/99 0.35 (repeating 5) 16/45 0.35 7/20 0.351 (repeating 1) 79/225 0.351 (repeating 351) 13/37 0.351 (repeating 51) 58/165 0.352 (repeating 52) 349/990 0.354 177/500 0.3555 (repeating 5) 16/45 0.356 89/250 0.36 (repeating 36) 4/11 0.36 (repeating 6) 11/30 0.36 9/25 0.361 (repeating 61) 179/495 0.36161 (repeating 1) 6509/18000 0.36161 36161/100000 0.3636 (repeating 6) 1091/3000 0.37 (repeating 37) 37/99 0.37 (repeating 7) 17/45 0.37 37/100 0.371 (repeating 71) 184/495 0.375 3/8 0.376 (repeating 376) 376/999 0.38 (repeating 38) 38/99 0.38 (repeating 8) 7/18 0.4 (repeating 4) 4/9 0.4 2/5 0.405 81/200 0.406 203/500 0.41 (repeating 1) 37/90 0.41 (repeating 41) 41/99 0.41 41/100 0.4125 (repeating 5) 3713/9000 0.42 (repeating 2) 19/45 0.42 (repeating 42) 14/33 0.428 (repeating 28) 212/495 0.43 (repeating 3) 13/30 0.43 (repeating 43) 43/99 0.4375 (repeating 4375) 4375/9999 0.44 (repeating 4) 4/9 0.44 11/25 0.441 (repeating 1) 397/900 0.442 221/500 0.45 (repeating 45) 5/11 0.45 (repeating 5) 41/90 0.45 9/20 0.457 457/1000 0.459 459/1000 0.46 (repeating 46) 46/99 0.46 (repeating 6) 7/15 0.46 23/50 0.464 58/125 0.47 (repeating 7) 43/90 0.474 (repeating 474) 158/333 0.4785 957/2000 0.48 (repeating 48) 16/33 0.48 (repeating 8) 22/45 0.482 (repeating 2) 217/450 0.482 (repeating 82) 239/495 0.482 241/500 0.48282 24141/50000 0.49 (repeating 9) 1/2 0.499 499/1000 0.5 (repeating 5) 5/9 0.5 1/2 0.51 (repeating 1) 23/45 0.51 51/100 0.512 64/125 0.513 (repeating 13) 254/495 0.52 13/25 0.524 (repeating 24) 173/330 0.524 (repeating 4) 118/225 0.525 21/40 0.5252 (repeating 2) 4727/9000 0.528 (repeating 28) 523/990 0.53 (repeating 3) 8/15 0.53 (repeating 53) 53/99 0.53125 17/32 0.5317 (repeating 317) 2656/4995 0.54 (repeating 4) 49/90 0.5407 (repeating 5407) 5407/9999 0.55 11/20 0.56 (repeating 56) 56/99 0.56 (repeating 6) 17/30 0.56 14/25 0.57 (repeating 57) 19/33 0.57 (repeating 7) 26/45 0.57 57/100 0.572 (repeating 72) 63/110 0.576 (repeating 6) 173/300 0.576 72/125 0.58 (repeating 58) 58/99 0.58 (repeating 8) 53/90 0.58 29/50 0.583 (repeating 3) 7/12 0.59 59/100 0.594 (repeating 594) 22/37 0.6 (repeating 6) 2/3 0.6 3/5 0.61 (repeating 1) 11/18 0.61 (repeating 61) 61/99 0.61 61/100 0.612 (repeating 12) 101/165 0.612 (repeating 2) 551/900 0.62 (repeating 2) 28/45 0.62 (repeating 62) 62/99 0.62 31/50 0.623 (repeating 23) 617/990 0.625 5/8 0.63 (repeating 3) 19/30 0.63 (repeating 63) 7/11 0.63 63/100 0.638 (repeating 38) 316/495 0.638 319/500 0.64 (repeating 64) 64/99 0.64 16/25 0.642 (repeating 642) 214/333 0.643 643/1000 0.65 (repeating 5) 59/90 0.65 13/20 0.656 82/125 0.66 (repeating 6) 2/3 0.66 33/50 0.67 (repeating 67) 67/99 0.67 (repeating 7) 61/90 0.67 67/100 0.673 (repeating 73) 667/990 0.675 (repeating 75) 223/330 0.6875 11/16 0.695 139/200 0.7 (repeating 7) 7/9 0.7 7/10 0.71 (repeating 1) 32/45 0.72 (repeating 2) 13/18 0.72 (repeating 72) 8/11 0.72 18/25 0.728 (repeating 28) 721/990 0.73 (repeating 73) 73/99 0.74 (repeating 4) 67/90 0.75 (repeating 5) 34/45 0.75 (repeating 75) 25/33 0.75 3/4 0.756 (repeating 56) 749/990 0.756 (repeating 756) 28/37 0.76 (repeating 6) 23/30 0.7619 7619/10000 0.77 (repeating 7) 7/9 0.78 (repeating 78) 26/33 0.78 (repeating 8) 71/90 0.78 39/50 0.7834 3917/5000 0.786 393/500 0.79 (repeating 79) 79/99 0.8 (repeating 8) 8/9 0.8 4/5 0.81 (repeating 1) 73/90 0.81 (repeating 81) 9/11 0.81 81/100 0.8125 13/16 0.82 (repeating 2) 37/45 0.82 (repeating 82) 82/99 0.82 41/50 0.83 (repeating 3) 5/6 0.83 (repeating 83) 83/99 0.83 83/100 0.85 (repeating 5) 77/90 0.85 (repeating 85) 85/99 0.85 17/20 0.86 (repeating 6) 13/15 0.87 (repeating 7) 79/90 0.87 (repeating 87) 29/33 0.87 87/100 0.875 (repeating 5) 197/225 0.875 (repeating 75) 289/330 0.875 (repeating 875) 875/999 0.875 7/8 0.88 22/25 0.888 (repeating 8) 8/9 0.888 111/125 0.89 (repeating 89) 89/99 0.89 (repeating 9) 9/10 0.89 89/100 0.895 (repeating 5) 403/450 0.895 (repeating 895) 895/999 0.895 (repeating 95) 887/990 0.895 179/200 0.9 (repeating 9) 1/1 0.9 9/10 0.91 (repeating 91) 91/99 0.916 (repeating 6) 11/12 0.918 (repeating 8) 827/900 0.919 (repeating 919) 919/999 0.919191 (repeating 191) 114784/124875 0.93 (repeating 3) 14/15 0.93 (repeating 93) 31/33 0.9375 15/16 0.94 (repeating 4) 17/18 0.95 (repeating 5) 43/45 0.95 (repeating 95) 95/99 0.96 (repeating 6) 29/30 0.96 (repeating 96) 32/33 0.96 24/25 0.97 (repeating 7) 44/45 0.98 (repeating 8) 89/90 0.98 (repeating 98) 98/99 01.8 (repeating 8) 17/9 1.01 101/100 1.015 203/200 1.04 26/25 1.05 21/20 1.1 (repeating 1) 10/9 1.1 11/10 1.123 (repeating 3) 337/300 1.125 9/8 1.13 (repeating 13) 112/99 1.13 (repeating 3) 17/15 1.133 (repeating 33) 17/15 1.14 (repeating 14) 113/99 1.14 57/50 1.2 6/5 1.21 (repeating 1) 109/90 1.21 (repeating 21) 40/33 1.23 (repeating 3) 37/30 1.24 (repeating 4) 56/45 1.24 31/25 1.27 (repeating 7) 23/18 1.29 (repeating 9) 13/10 1.3 (repeating 3) 4/3 1.3 13/10 1.3045 2609/2000 1.32 (repeating 2) 119/90 1.32 (repeating 32) 131/99 1.32 33/25 1.33 133/100 1.333 1333/1000 1.3333 (repeating 3) 4/3 1.3333 13333/10000 1.34 67/50 1.36 (repeating 6) 41/30 1.375 11/8 1.39 139/100 1.4 (repeating 4) 13/9 1.4 7/5 1.406 703/500 1.48 (repeating 8) 67/45 1.48 37/25 1.5 (repeating 5) 14/9 1.5 3/2 1.52 (repeating 2) 137/90 1.52 (repeating 52) 151/99 1.5333 15333/10000 1.6 (repeating 6) 5/3 1.6 8/5 1.625 13/8 1.66 (repeating 6) 5/3 1.67 (repeating 7) 151/90 1.69 169/100 1.76 (repeating 6) 53/30 1.7778 (repeating 778) 17761/9990 1.8 (repeating 8) 17/9 1.8 9/5 1.83 (repeating 3) 11/6 1.83 (repeating 83) 182/99 1.833 (repeating 833) 1832/999 1.8333 (repeating 3) 11/6 1.86 93/50 1.875 15/8 1.888 (repeating 8) 17/9 1.888 236/125 1.95 39/20 11.1 (repeating 1) 100/9 12.8 64/5 13.33 (repeating 3) 40/3 131.142857 (repeating 142857) 918/7 14.667 14667/1000 19.84325 79373/4000 2.02 101/50 2.14 (repeating 14) 212/99 2.14 (repeating 4) 193/90 2.16 (repeating 16) 214/99 2.16 (repeating 6) 13/6 2.16 54/25 2.2 11/5 2.248 (repeating 8) 506/225 2.25 9/4 2.26 (repeating 26) 224/99 2.26 (repeating 6) 34/15 2.26 113/50 2.267 (repeating 267) 755/333 2.267 (repeating 67) 449/198 2.267 (repeating 7) 2041/900 2.27 (repeating 27) 25/11 2.276 (repeating 276) 758/333 2.29 (repeating 9) 23/10 2.3 (repeating 3) 7/3 2.3 23/10 2.31 (repeating 1) 104/45 2.31 (repeating 31) 229/99 2.314 (repeating 14) 2291/990 2.314 (repeating 314) 2312/999 2.314 (repeating 4) 2083/900 2.314 1157/500 2.33 (repeating 33) 7/3 2.3333 23333/10000 2.4 (repeating 4) 22/9 2.42 121/50 2.47 247/100 2.5 (repeating 5) 23/9 2.5 5/2 2.51 (repeating 1) 113/45 2.53 (repeating 3) 38/15 2.6 (repeating 6) 8/3 2.6 13/5 2.625 21/8 2.65 (repeating 65) 263/99 2.67 (repeating 67) 265/99 2.67 (repeating 7) 241/90 2.7 (repeating 7) 25/9 2.7 27/10 2.8 (repeating 8) 26/9 2.8 14/5 2.88 72/25 21.6 108/5 225.05 4501/20 282.28 7057/25 3.01 (repeating 1) 271/90 3.01 301/100 3.1 (repeating 1) 28/9 3.1 31/10 3.11 (repeating 11) 28/9 3.14 (repeating 14) 311/99 3.145 (repeating 5) 2831/900 3.16 (repeating 6) 19/6 3.16 79/25 3.165 (repeating 65) 1567/495 3.2 (repeating 2) 29/9 3.2 16/5 3.24 (repeating 4) 146/45 3.248 (repeating 248) 3245/999 3.248 (repeating 48) 536/165 3.248 (repeating 8) 731/225 3.248 406/125 3.25 13/4 3.31 (repeating 1) 149/45 3.31 (repeating 31) 328/99 3.31 331/100 3.41 (repeating 1) 307/90 3.41 (repeating 41) 338/99 3.48 (repeating 48) 115/33 3.48 (repeating 8) 157/45 3.5 (repeating 5) 32/9 3.5 7/2 3.53 (repeating 3) 53/15 3.53 (repeating 53) 350/99 3.541 (repeating 1) 3187/900 3.541 (repeating 41) 1753/495 3.596 (repeating 6) 1079/300 3.6 (repeating 6) 11/3 3.8 19/5 3.83 (repeating 3) 23/6 3.83 (repeating 83) 380/99 3.8333 (repeating 33) 23/6 3.89 389/100 3.9 39/10 4.046 (repeating 46) 2003/495 4.053 (repeating 3) 304/75 4.08 102/25 4.14 (repeating 14) 410/99 4.15 83/20 4.23 (repeating 23) 419/99 4.23 (repeating 3) 127/30 4.6 23/5 4.62 (repeating 62) 458/99 4.6875 75/16 4.75 (repeating 5) 214/45 4.75 (repeating 75) 157/33 4.75 19/4 4.76 119/25 4.87 (repeating 87) 161/33 4.9 (repeating 9) 5/1 45.9 459/10 5.032 (repeating 32) 2491/495 5.125 41/8 5.17 517/100 5.4 (repeating 4) 49/9 5.61 (repeating 1) 101/18 5.672 (repeating 672) 1889/333 5.672 (repeating 72) 312/55 5.672 709/125 5.7 (repeating 7) 52/9 5.96 149/25 6.145 1229/200 6.25 25/4 6.5 13/2 65.8364 164591/2500 7.3 (repeating 3) 22/3 7.5 15/2 7.51 (repeating 51) 248/33 7.63 (repeating 63) 84/11 7.75 31/4 8.125 65/8 8.23 (repeating 23) 815/99 8.24 (repeating 24) 272/33 8.25 33/4 8.4 42/5 8.5 (repeating 5) 77/9 8.75 35/4 89.6 (repeating 6) 269/3 9.0355 (repeating 355) 18053/1998 9.102 4551/500 9.3 93/10

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## Latest solutions

(Video) How to convert from a decimal to a fraction using the calculator Casio fx-991MS

## FAQs

### What is the symbol for recurring decimal fraction? ›

Dot notation is used with recurring decimals. The dot above the number shows which numbers recur, for example 0.5 7 ˙ is equal to 0.5777777... and. 2 ˙ 7 ˙ is equal to 0.27272727...

What is 1.3333 repeating as a fraction? ›

Answer and Explanation: 1.33333. . . is equivalent to the fraction 4/3.

How do you turn 0.33333 into a fraction? ›

Answer: 0.33333 as a fraction is 1/3

Now that you know that . 33333 as a fraction is 1/3, lets explore why this math fact is true.

## Videos

1. How To Convert Decimals to Fractions
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2. Secret Way To Input A Recurring Decimal On A fx-991CW | fx-570CW Classwiz | Repeating Decimal
(The Calculator Guide)
3. How To Input Recurring Decimals On Casio Classwiz - (Repeating Decimals, fx-991EX fx-570EX)
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4. Convert decimals to fractions: Pure Recurring Decimal, Mixed Recurring, and Sum of Geometric Series
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5. Recurring decimals on a calculator
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6. Recurring Decimal Key. Changing Recurring Decimals To Fractions Casio Classwiz fx-GT85x Calculator.
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