63/64 as a decimal expansion provides the detailed information about what is 63/64 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
63/64 as a Decimal Expansion
63/64 = 0.9844
Hence,
63/64 as a decimal equals to 0.9844
where,
63/64 is a given fraction,
The decimal expansion of 63/64 is 0.9844
63/64 as a Mixed Number
The given fraction 63/64 can't be represented as a mixed number since the numerator 63 of the given fraction is smaller than the denominator 64.
The below work with steps provide the detailed information about how to convert fraction 63/64 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 63/64
What to be found:
Find the decimal expansion of fraction 63/64.
step 2 The numerator is smaller than the denominator of the fraction 63/64, 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 63/64.
= 63/64 x 10/10
step 3 Rearrange the fraction as like the below:
= 10 x 63/64 x 1/10
= 630/64 x 1/10
step 4 Simplify the above expression further:
= 630/64 x 1/10
= 576 + 54/64 x 1/10
= ( 576/64 + 54/64) x 1/10
= (9 + 54/64 ) x 1/10
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 54/64 in the above expression:
= (9 + 54/64 ) x 1/10
= (9 + 0.844) x 1/10
step 6 Simplify the above expression further:
= (9 + 0.844) x 1/10
= 9.844 x 1/10
= 9.844/10
63/64= 0.9844
Hence,
63/64 as a decimal is 0.9844