61/64 as a decimal expansion provides the detailed information about what is 61/64 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
61/64 as a Decimal Expansion
61/64 = 0.9531
Hence,
61/64 as a decimal equals to 0.9531
where,
61/64 is a given fraction,
The decimal expansion of 61/64 is 0.9531
61/64 as a Mixed Number
The given fraction 61/64 can't be represented as a mixed number since the numerator 61 of the given fraction is smaller than the denominator 64.
The below work with steps provide the detailed information about how to convert fraction 61/64 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 61/64
What to be found:
Find the decimal expansion of fraction 61/64.
step 2 The numerator is smaller than the denominator of the fraction 61/64, 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 61/64.
= 61/64 x 10/10
step 3 Rearrange the fraction as like the below:
= 10 x 61/64 x 1/10
= 610/64 x 1/10
step 4 Simplify the above expression further:
= 610/64 x 1/10
= 576 + 34/64 x 1/10
= ( 576/64 + 34/64) x 1/10
= (9 + 34/64 ) x 1/10
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 34/64 in the above expression:
= (9 + 34/64 ) x 1/10
= (9 + 0.531) x 1/10
step 6 Simplify the above expression further:
= (9 + 0.531) x 1/10
= 9.531 x 1/10
= 9.531/10
61/64= 0.9531
Hence,
61/64 as a decimal is 0.9531