# Mixed Fraction to Decimal - Conversion, Methods, Examples (2023)

In order to convert a mixed fraction to decimal, we first change the mixed fraction to an improper fraction and then convert it to a decimal number. Let us learn more about converting a mixed fraction to decimal in this article.

 1 Mixed Fraction to Decimal 2 How to Convert Mixed Fraction to Decimal? 3 How to Convert a Decimal to a Mixed Number? 4 FAQs on Mixed Fraction to Decimal

## Mixed Fraction to Decimal

Converting mixed fraction to decimal involves two simple methods. Before moving on to the conversion, let us recollect the definition of a mixed fraction and a decimal number. A mixed fraction, which is also known as a mixed number, is a fraction that has a whole number and a proper fraction. For example, \(2 \dfrac{1}{4}\) is a mixed fraction in which 2 is the whole number part and 1/4 is the proper fraction. A decimal is a number that has a whole number part and a fractional part that is separated by a dot called the decimal point. For example, 3.26 is a decimal number in which 3 is the whole number part and .26 is the fractional part.

## How to Convert Mixed Fraction to Decimal?

There are two methods that can be used to convert mixed fractions to decimal numbers.

(Video) Mixed Fraction to Decimal

• Method 1: Convert the given mixed fraction to an improper fraction and then divide the numerator by the denominator to get the decimal form of the fraction.
• Method 2: Keep the whole number part the same, and convert the fractional part to a decimal by dividing the numerator by the denominator. Example 1: (Using Method 1)

Convert the given mixed fraction to a decimal fraction: \(6 \dfrac{2}{5}\)

Solution:

• Step 1: First, we need to convert \(6 \dfrac{2}{5}\) to an improper fraction. For this, we will multiply the whole number (6) with the denominator (5). This gives 6 × 5 = 30.
• Step 2: The product (30) is added to the numerator (2) which gives 30 + 2 = 32.
• Step 3: This number (32) will be the new numerator and the denominator will remain the same. So, the improper fraction will be 32/5.
• Step 4: Now, this improper fraction can be converted to a decimal if we divide the numerator by the denominator. This will result in, 32 ÷ 5 = 6.4. Therefore, \(6 \dfrac{2}{5}\) is written as 6.4 in the decimal form.

Example 2: (Using Method 2)

(Video) How to Convert Mixed Fractions into Decimals||Convert Mixed Fraction into Decimal

Convert the given mixed fraction to a decimal fraction: \(7 \dfrac{1}{4}\)

Solution: In this method, we will keep the whole number part the same, and convert the fractional part to a decimal by dividing the numerator by the denominator.

• Step 1: We will keep the whole number part aside and convert 1/4 to a decimal number. For this, we will divide 1 by 4. This gives 1 ÷ 4 = 0.25
• Step 2: Now, we will add the whole number part to this decimal number. This means \(7 \dfrac{1}{4}\) = 7 + 1/4 = 7 + 0.25 = 7.25

## How to Convert a Decimal to a Mixed Number?

In order to convert a decimal number into a mixed number, we first need to observe the number to the left of the decimal. If it is zero, the resultant fraction will be a proper fraction. This means that 0.75 will result into a proper fraction after conversion. In case, the number to the left of the decimal is non-zero, then the decimal will convert to a mixed fraction. This means that 6.25 will result into a mixed fraction.

Let us see the steps that are used to convert a decimal number to a mixed number. Let us convert 6.25 to a mixed fraction.

(Video) Converting Mixed Numbers to Decimals

• Step 1: Since the given decimal has 6 as its whole number part, we will retain the whole number as it is. Then, we will identify the place value of the right-most digit after the decimal point and write the denominator accordingly.
• Step 2: In the given decimal, the right-most digit, 5, is in the hundredths place. This means that we will write 100 in the denominator.
• Step 3: Now, we will write the fraction in which the numerator will be 25 since it is given to the right of the decimal point and 100 will be the denominator.
• Step 4: Therefore, the resultant fraction will be, 25/100. This can be further reduced to 1/4. So, 6.25 as a mixed fraction can be written as \(6 \dfrac{1}{4}\)

Check out the following pages related to Mixed Fraction to Decimal:

• Decimals
• Mixed Fractions
• Improper Fractions
• Types of Fractions

## FAQs on Mixed Fraction to Decimal

### How to Convert Mixed Fraction to Decimal?

Mixed fractions can be converted to decimal numbers using two methods. In the first method, we convert the mixed fraction to an improper fraction and then divide the numerator by the denominator to get the decimal form of the fraction. For example, to convert \(3 \dfrac{2}{7}\) to a decimal fraction, we convert it into an improper fraction which is 23/7. Then, we divide 23 by 7 which gives 23 ÷ 7 = 3.28. In the second method, we keep the whole number as it is, and convert the fractional part to a decimal by dividing the numerator by the denominator. For example, to convert \(4 \dfrac{2}{5}\) to a decimal number, we will keep 4 aside and convert 2/5 to its decimal form. This will give 2 ÷ 5 = 0.4. Now, we will add the whole number 4 to this decimal. In other words, \(4 \dfrac{2}{5}\) = 4 + 2/5 = 4 + 0.4 = 4.4

(Video) Convert Mixed Fractions to Decimal in 3 Seconds

### How to Convert a Decimal Number into a Mixed Fraction?

In order to convert a decimal number into a mixed fraction, we use the following steps. Let us understand this by converting 7.356 to a mixed fraction.

• Step 1: Since the given decimal has 7 as its whole number part, we will keep the whole number as it is. Then, we will identify the place value of the right-most digit after the decimal point and write the denominator accordingly.
• Step 2: In the given decimal, the right-most digit, 6, is in the thousandths place. This means that we will write 1000 in the denominator.
• Step 3: Now, we will write the fraction in which the numerator will be 356 since it is given to the right of the decimal point and we already have 1000 as the denominator.
• Step 4: Therefore, the resultant fraction will be, 356/1000. This can be further reduced to 89/250. So, 7.356 as a mixed fraction can be written as \(7 \dfrac{89}{250}\)

### How to Convert 1 3/8 Mixed Fraction to Decimal?

In order to convert \(1 \dfrac{3}{8}\) to a decimal number, we will first convert it into an improper fraction which will be 11/8. Now, we will divide 11 by 8 which will be, 11 ÷ 8 = 1.375.

### How to Convert 9 7/8 Mixed Fraction to Decimal?

There are two methods that are used to convert a mixed fraction to a decimal. Let us use the method in which the whole number is retained. So, in this mixed fraction 9 7/8, the whole number 9 will be kept aside and 7/8 will be converted to a decimal. This results in, 7 ÷ 8 = 0.875. Now, we will add the whole number 9 to this decimal which means, \(9 \dfrac{7}{8}\) = 9 + 7/8 = 9 + 0.875 = 9.875

### Write the Mixed Fraction 4 2/7 as a Decimal.

To convert \(4 \dfrac{2}{7}\) to a decimal, we will first convert it into an improper fraction. This will be 30/7. Now, we will divide 30 by 7 to change it to its decimal form. So, 30 ÷ 7 = 4.285.

## FAQs

### Mixed Fraction to Decimal - Conversion, Methods, Examples? ›

This means that all fractions can be converted into decimals by dividing the numerator by the denominator. For example, the fraction 45 represents 4 out of 5, or 4 divided by 5. This fraction can be converted into a decimal by dividing 4 by 5.

What are the example of converting fraction to decimal? ›

This means that all fractions can be converted into decimals by dividing the numerator by the denominator. For example, the fraction 45 represents 4 out of 5, or 4 divided by 5. This fraction can be converted into a decimal by dividing 4 by 5.

What are examples of mixed decimals? ›

A number, such as 7.125, consisting of an integer (in this case, 7) plus a decimal (0.0125).

What is an example of converting mixed numbers to improper fractions? ›

Converting mixed numbers into improper fractions
• Multiply the whole number by the denominator (2 x 8 = 16) and then add the numerator (16 + 7 = 23).
• This answer becomes the numerator; the denominator stays the same: 23/8.

How do you change a fraction to a decimal without a calculator? ›

To convert a fraction to a decimal, you simply divide the numerator by the denominator. You first need to move the decimal point in the divisor to the right until it is a whole number. Then, you have to move the decimal point in the dividend to the right by the same number of places the decimal point was moved.

How to convert improper fractions to mixed numbers and decimals? ›

To change an improper fraction to a mixed number, follow these steps:
1. Divide the numerator by the denominator.
2. Write down the whole number part of the quotient.
3. Take the remainder and write it over the original denominator.

What are three examples of mixed fraction? ›

Some more examples of mixed fractions are 3(¼), 1 (2/9), 7(¾).

What is the mixed fraction with example? ›

A mixed fraction is a combination of a proper fraction and a whole number. Usually, it represents a number between any two. For instance, 1(1/3) is a mixed fraction, where 1 is a whole number and 1/3 is a fraction, and together they form this subtype of fractions.

How do you convert improper mixed numbers? ›

In order to convert an improper fraction to a mixed number, we need to divide the numerator by the denominator. After the division, the mixed number is formed in such a way that the quotient that is obtained becomes the whole number, the remainder becomes the new numerator and the denominator remains the same.

How to convert each decimal to a fraction or mixed number in its simplest form? ›

Step 1: Write down the decimal divided by 1, like this: decimal 1. Step 2: Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.) Step 3: Simplify (or reduce) the fraction.

### What is 2 7⁄8 to one decimal place? ›

Answer: 2 7/8 as a decimal is equal to 2.875.

What is 12 7 8 as a decimal? ›

Solution: 12 7/8 as a decimal is 12.88.

How do you write 8 7 9 as a decimal? ›

Solution: 8 7/9 as a decimal is 8.78

And there you go! We got 8.78 as the answer when you convert 8 7/9 (or 79/9) to a decimal.

What is mixed fraction grade 4 example? ›

A mixed number is a whole number represented together with a proper fraction. It represents a number that comes between two whole numbers. For example, the number 3½ is a mixed number with 3 as the whole number along with ½ as a proper fraction. It comes between the whole numbers 3 and 4.

What is 2 3 3 5 as a fraction? ›

Answer: 2/3 + 3/5 as a fraction is 19/15.

How do you convert a fraction to a whole number? ›

To convert a fraction into a whole number: Divide the numerator by the denominator, only if the numerator is a multiple of the denominator. Example: Convert \$\dfrac{4}{2}\$ into a whole number. Ans: Here the numerator is 4 and the denominator is 2.

How do you turn a mixed number into a whole number? ›

Step 1: Divide the numerator by the denominator. Step 2: Write down the quotient as the whole number. Step 3: Write down the remainder as the numerator and the divisor as the denominator.

What is 2 9 10 as a decimal? ›

Solution: 2 9/10 as a decimal is 2.9

As a result, you get 2.9 as your answer when you convert 2 9/10 (or 29/10) to a decimal.

How do you turn 5 4 into a decimal? ›

Solution: 5/4 as a decimal is 1.25

What is 4 2 15 as a decimal? ›

Solution: 4 2/15 as a decimal is 4.13.

### What is 4 8 3 as a decimal? ›

Solution: 4 8/3 as a decimal is 6.67

The first step to changing 4 8/3 into a decimal is to change it to an improper fraction. To do that, we need to multiply 4 by 3 and add its product to 8 in the numerator to get: 20/3. Now we will attempt to convert 20/3 to a decimal using the following method.

What is 4 3 20 as a decimal? ›

Solution: 4 3/20 as a decimal is 4.15.

What is 3 ⁄ 5 as a decimal? ›

Solution: 3/5 as a decimal is 0.6

And there you go! We got 0.6 as the answer when you convert 3/5 to a decimal.

What is 1 2 2 10 as decimal? ›

Solution: 12 2/10 as a decimal is 12.2

And finally, you get 12.2 as your answer when you convert 12 2/10 (or 122/10) to a decimal.

What is 14 2 9 as decimal? ›

Solution: 14 2/9 as a decimal is 14.22.

What is 15 4 as a decimal? ›

Solution: 15/4 as a decimal is 3.75.

What is 7 4 as a decimal? ›

The decimal form of 7/4 is 1.75.

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