3/64 as a decimal expansion provides the detailed information about what is 3/64 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
3/64 as a Decimal Expansion
3/64 = 0.0469
Hence,
3/64 as a decimal equals to 0.0469
where,
3/64 is a given fraction,
The decimal expansion of 3/64 is 0.0469
3/64 as a Mixed Number
The given fraction 3/64 can't be represented as a mixed number since the numerator 3 of the given fraction is smaller than the denominator 64.
The below work with steps provide the detailed information about how to convert fraction 3/64 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 3/64
What to be found:
Find the decimal expansion of fraction 3/64.
step 2 The numerator is smaller than the denominator of the fraction 3/64, 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 3/64.
= 3/64 x 100/100
step 3 Rearrange the fraction as like the below:
= 100 x 3/64 x 1/100
= 300/64 x 1/100
step 4 Simplify the above expression further:
= 300/64 x 1/100
= 256 + 44/64 x 1/100
= ( 256/64 + 44/64) x 1/100
= (4 + 44/64 ) x 1/100
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 44/64 in the above expression:
= (4 + 44/64 ) x 1/100
= (4 + 0.688) x 1/100
step 6 Simplify the above expression further:
= (4 + 0.688) x 1/100
= 4.688 x 1/100
= 4.688/100
3/64= 0.04688
Hence,
3/64 as a decimal is 0.04688