7/64 as a decimal expansion provides the detailed information about what is 7/64 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
7/64 as a Decimal Expansion
7/64 = 0.1094
Hence,
7/64 as a decimal equals to 0.1094
where,
7/64 is a given fraction,
The decimal expansion of 7/64 is 0.1094
7/64 as a Mixed Number
The given fraction 7/64 can't be represented as a mixed number since the numerator 7 of the given fraction is smaller than the denominator 64.
The below work with steps provide the detailed information about how to convert fraction 7/64 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 7/64
What to be found:
Find the decimal expansion of fraction 7/64.
step 2 The numerator is smaller than the denominator of the fraction 7/64, 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 7/64.
= 7/64 x 100/100
step 3 Rearrange the fraction as like the below:
= 100 x 7/64 x 1/100
= 700/64 x 1/100
step 4 Simplify the above expression further:
= 700/64 x 1/100
= 640 + 60/64 x 1/100
= ( 640/64 + 60/64) x 1/100
= (10 + 60/64 ) x 1/100
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 60/64 in the above expression:
= (10 + 60/64 ) x 1/100
= (10 + 0.938) x 1/100
step 6 Simplify the above expression further:
= (10 + 0.938) x 1/100
= 10.938 x 1/100
= 10.938/100
7/64= 0.10938
Hence,
7/64 as a decimal is 0.10938