55/64 as a decimal expansion provides the detailed information about what is 55/64 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
55/64 as a Decimal Expansion
55/64 = 0.8594
Hence,
55/64 as a decimal equals to 0.8594
where,
55/64 is a given fraction,
The decimal expansion of 55/64 is 0.8594
55/64 as a Mixed Number
The given fraction 55/64 can't be represented as a mixed number since the numerator 55 of the given fraction is smaller than the denominator 64.
The below work with steps provide the detailed information about how to convert fraction 55/64 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 55/64
What to be found:
Find the decimal expansion of fraction 55/64.
step 2 The numerator is smaller than the denominator of the fraction 55/64, 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 55/64.
= 55/64 x 10/10
step 3 Rearrange the fraction as like the below:
= 10 x 55/64 x 1/10
= 550/64 x 1/10
step 4 Simplify the above expression further:
= 550/64 x 1/10
= 512 + 38/64 x 1/10
= ( 512/64 + 38/64) x 1/10
= (8 + 38/64 ) x 1/10
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 38/64 in the above expression:
= (8 + 38/64 ) x 1/10
= (8 + 0.594) x 1/10
step 6 Simplify the above expression further:
= (8 + 0.594) x 1/10
= 8.594 x 1/10
= 8.594/10
55/64= 0.8594
Hence,
55/64 as a decimal is 0.8594