50/57 as a Decimal

50/57 as a decimal expansion provides the detailed information about what is 50/57 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
50/57 as a Decimal Expansion
50/57 = 0.8772
Hence,
50/57 as a decimal equals to 0.8772
where,
50/57 is a given fraction,
The decimal expansion of 50/57 is 0.8772
50/57 as a Mixed Number
The given fraction 50/57 can't be represented as a mixed number since the numerator 50 of the given fraction is smaller than the denominator 57.
How-to: 50/57 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 50/57 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 50/57
What to be found:
Find the decimal expansion of fraction 50/57.
step 2 The numerator is smaller than the denominator of the fraction 50/57, 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 50/57.
= 50/57 x 10/10
step 3 Rearrange the fraction as like the below:
= 10 x 50/57 x 1/10
= 500/57 x 1/10
step 4 Simplify the above expression further:
= 500/57 x 1/10
= 456 + 44/57 x 1/10
= ( 456/57 + 44/57) x 1/10
= (8 + 44/57 ) x 1/10
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 44/57 in the above expression:
= (8 + 44/57 ) x 1/10
= (8 + 0.772) x 1/10
step 6 Simplify the above expression further:
= (8 + 0.772) x 1/10
= 8.772 x 1/10
= 8.772/10
50/57= 0.8772
Hence,
50/57 as a decimal is 0.8772
