# 7/13 as a Decimal 7/13 as a decimal expansion provides the detailed information about what is 7/13 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

7/13 as a Decimal Expansion
7/13 = 0.5385
Hence,
7/13 as a decimal equals to 0.5385
where,
7/13 is a given fraction,
The decimal expansion of 7/13 is 0.5385

7/13 as a Mixed Number
The given fraction 7/13 can't be represented as a mixed number since the numerator 7 of the given fraction is smaller than the denominator 13.

For values other than 7/13, use this below tool:

## How-to: 7/13 as a Decimal

The below work with steps provide the detailed information about how to convert fraction 7/13 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 7/13

What to be found:
Find the decimal expansion of fraction 7/13.

step 2 The numerator is smaller than the denominator of the fraction 7/13, so find how many 10s should be multiplied with both numerator and denominator. Since the denominator is having 1 more digits than the numerator, multiply 100 with both numerator and denominator of 7/13.
= 7/13 x 100/100

step 3 Rearrange the fraction as like the below:
= 100 x 7/13 x 1/100
= 700/13 x 1/100

step 4 Simplify the above expression further:
= 700/13 x 1/100
= 689 + 11/13 x 1/100
= ( 689/13 + 11/13) x 1/100
= (53 + 11/13 ) x 1/100

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 11/13 in the above expression:
= (53 + 11/13 ) x 1/100
= (53 + 0.846) x 1/100

step 6 Simplify the above expression further:
= (53 + 0.846) x 1/100
= 53.846 x 1/100
= 53.846/100
7/13= 0.53846

Hence,
7/13 as a decimal is 0.53846 