5/64 as a decimal expansion provides the detailed information about what is 5/64 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
5/64 as a Decimal Expansion
5/64 = 0.0781
Hence,
5/64 as a decimal equals to 0.0781
where,
5/64 is a given fraction,
The decimal expansion of 5/64 is 0.0781
5/64 as a Mixed Number
The given fraction 5/64 can't be represented as a mixed number since the numerator 5 of the given fraction is smaller than the denominator 64.
The below work with steps provide the detailed information about how to convert fraction 5/64 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 5/64
What to be found:
Find the decimal expansion of fraction 5/64.
step 2 The numerator is smaller than the denominator of the fraction 5/64, so find how many 10s should be multiplied with both numerator and denominator. Since the denominator is having 1 more digits than the numerator, multiply 100 with both numerator and denominator of 5/64.
= 5/64 x 100/100
step 3 Rearrange the fraction as like the below:
= 100 x 5/64 x 1/100
= 500/64 x 1/100
step 4 Simplify the above expression further:
= 500/64 x 1/100
= 448 + 52/64 x 1/100
= ( 448/64 + 52/64) x 1/100
= (7 + 52/64 ) x 1/100
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 52/64 in the above expression:
= (7 + 52/64 ) x 1/100
= (7 + 0.813) x 1/100
step 6 Simplify the above expression further:
= (7 + 0.813) x 1/100
= 7.813 x 1/100
= 7.813/100
5/64= 0.07813
Hence,
5/64 as a decimal is 0.07813