# 5/49 as a Decimal 5/49 as a decimal expansion provides the detailed information about what is 5/49 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

5/49 as a Decimal Expansion
5/49 = 0.102
Hence,
5/49 as a decimal equals to 0.102
where,
5/49 is a given fraction,
The decimal expansion of 5/49 is 0.102

5/49 as a Mixed Number
The given fraction 5/49 can't be represented as a mixed number since the numerator 5 of the given fraction is smaller than the denominator 49.

For values other than 5/49, use this below tool:

## How-to: 5/49 as a Decimal

The below work with steps provide the detailed information about how to convert fraction 5/49 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 5/49

What to be found:
Find the decimal expansion of fraction 5/49.

step 2 The numerator is smaller than the denominator of the fraction 5/49, 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 5/49.
= 5/49 x 100/100

step 3 Rearrange the fraction as like the below:
= 100 x 5/49 x 1/100
= 500/49 x 1/100

step 4 Simplify the above expression further:
= 500/49 x 1/100
= 490 + 10/49 x 1/100
= ( 490/49 + 10/49) x 1/100
= (10 + 10/49 ) x 1/100

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 10/49 in the above expression:
= (10 + 10/49 ) x 1/100
= (10 + 0.204) x 1/100

step 6 Simplify the above expression further:
= (10 + 0.204) x 1/100
= 10.204 x 1/100
= 10.204/100
5/49= 0.10204

Hence,
5/49 as a decimal is 0.10204 