# 20/49 as a Decimal 20/49 as a decimal expansion provides the detailed information about what is 20/49 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

20/49 as a Decimal Expansion
20/49 = 0.4082
Hence,
20/49 as a decimal equals to 0.4082
where,
20/49 is a given fraction,
The decimal expansion of 20/49 is 0.4082

20/49 as a Mixed Number
The given fraction 20/49 can't be represented as a mixed number since the numerator 20 of the given fraction is smaller than the denominator 49.

For values other than 20/49, use this below tool:

## How-to: 20/49 as a Decimal

The below work with steps provide the detailed information about how to convert fraction 20/49 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 20/49

What to be found:
Find the decimal expansion of fraction 20/49.

step 2 The numerator is smaller than the denominator of the fraction 20/49, so find how many 10s should be multiplied with both numerator and denominator. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 20/49.
= 20/49 x 10/10

step 3 Rearrange the fraction as like the below:
= 10 x 20/49 x 1/10
= 200/49 x 1/10

step 4 Simplify the above expression further:
= 200/49 x 1/10
= 196 + 4/49 x 1/10
= ( 196/49 + 4/49) x 1/10
= (4 + 4/49 ) x 1/10

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 4/49 in the above expression:
= (4 + 4/49 ) x 1/10
= (4 + 0.082) x 1/10

step 6 Simplify the above expression further:
= (4 + 0.082) x 1/10
= 4.082 x 1/10
= 4.082/10
20/49= 0.4082

Hence,
20/49 as a decimal is 0.4082 