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Converting Fractions to Decimals

To convert a fraction value into a decimal, we need to divide the top element (numerator) by the bottom element (denominator).

For example, convert the given number from fraction to decimal form, `2/5` is a fraction form, convert to decimal form 2 ÷ 5 = 0.4 , the decimal value is 0.4

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How to Convert Fractions to Decimals

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Below are the solved examples on how to convert fractions to decimals:

Solved Examples

Question 1: Convert `4/8` to decimal form.
Solution:

Step 1: First off, the fraction bar to mean "divided by." This means that `4/8` is the same as 4 divided by 8.

Step 2: One decimal places are answer, the 4 as 4.0 instead (a 4 with 1 zeros after the decimal point).

Step 3: The fraction bar says: divide 4.0 by 8:

Step 4: The 4 divided by 8 fraction decimal value is 0.5

How to Convert-Fractions to Decimals



Question 2: Convert `5/8` to decimal form.
Solution:
 

Step 1: The fraction bar to mean "divided by." This means that $\frac{5}{8}$ is the same as 5 divided by 8.

Step 2: The 3 decimal places are answer, the 5 as 5.000 instead (a 5 with 3 zeros after the decimal point).

Step 3: The fraction bar says: divide 5.000 by 8:

Step 4: The 5 divided by 8 fraction decimal value is 0.625

Converting Fractions to Decimals


 

Question 3: 12 divided by 8 converts to decimal form.
Solution:

Step 1: The fraction bar to mean "divided by." This means that $\frac{12}{8}$ is the same as 12 divided by 8.

Step 2: The 2 decimal places are answer, the 12 as 12.00 instead (a 12 with 2 zeros after the decimal point).

Step 3: The fraction bar says: divide 12.00 by 8:

Step 4: The 4 divided by 8 fraction decimal value is 1.50

Fractions to Decimals



Practice Problems

Question 1: Convert `5/6` to decimal form.
Question 2: Convert `7/8` to decimal form.
Question 3: convert `6/8` to decimal form.
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