102/64 as a Decimal and Mixed Number

102/64 as a decimal and mixed number expansion provides the detailed information about what is 102/64 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

102/64 as a Decimal
102/64 = 1.5938
Hence,
102/64 as a decimal equals to 1.5938
where,
102/64 is a given fraction,
The decimal expansion of 102/64 is 1.5938

102/64 as a Mixed Number
102/64 = (64 + 38)/64
= 64/64 + 38/64
= 1 + 38/64
= 1 38/64
102/64 = 1 38/64

Hence,
102/64 as a mixed number is 1 ³⁸/₆₄
where,
102/64 is a given fraction,
1 ³⁸/₆₄ is the mixed number representation of 102/64.

The below work with steps provide the detailed information about how to convert fraction 102/64 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 102/64

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 102/64.

step 2 The numerator is greater than the denominator of the fraction 102/64, so write the given fraction in the expression form in terms of denominator as like the below:
= 102/64
= 64 + 38/64

step 3 Make the above expression as individual fractions:
= 64/64 + 38/64

step 4 Simplify the above expression:
= 1 x 64/64 + 38/64
= 1 + 38/64
= 1 + 19 x 2/32 x 2
= 1 + 19/32
1 + 19/32 can be written as a mixed number 1 ¹⁹/₃₂.


step 5 Find the decimal equivalent for the fractional part 19/32 in the above expression:
Multiply both numerator and denominator by 3125 to make the denominator as powers of 10:
= 1 + (19/32 x 3125/3125)
= 1 + 59375/100000

step 6 Simplify the above expression further:
= 1 + 0.59375
= 1.59375
102/64 = 1.59375

Hence,
102/64 as a decimal is 1.59375
102/64 as a mixed number is 1 ¹⁹/₃₂