# 56/57 as a Decimal 56/57 as a decimal expansion provides the detailed information about what is 56/57 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

56/57 as a Decimal Expansion
56/57 = 0.9825
Hence,
56/57 as a decimal equals to 0.9825
where,
56/57 is a given fraction,
The decimal expansion of 56/57 is 0.9825

56/57 as a Mixed Number
The given fraction 56/57 can't be represented as a mixed number since the numerator 56 of the given fraction is smaller than the denominator 57.

For values other than 56/57, use this below tool:

## How-to: 56/57 as a Decimal

The below work with steps provide the detailed information about how to convert fraction 56/57 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 56/57

What to be found:
Find the decimal expansion of fraction 56/57.

step 2 The numerator is smaller than the denominator of the fraction 56/57, 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 56/57.
= 56/57 x 10/10

step 3 Rearrange the fraction as like the below:
= 10 x 56/57 x 1/10
= 560/57 x 1/10

step 4 Simplify the above expression further:
= 560/57 x 1/10
= 513 + 47/57 x 1/10
= ( 513/57 + 47/57) x 1/10
= (9 + 47/57 ) x 1/10

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 47/57 in the above expression:
= (9 + 47/57 ) x 1/10
= (9 + 0.825) x 1/10

step 6 Simplify the above expression further:
= (9 + 0.825) x 1/10
= 9.825 x 1/10
= 9.825/10
56/57= 0.9825

Hence,
56/57 as a decimal is 0.9825 