102/75 as a Decimal and Mixed Number

102/75 as a decimal and mixed number expansion provides the detailed information about what is 102/75 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

102/75 as a Decimal
102/75 = 1.36
Hence,
102/75 as a decimal equals to 1.36
where,
102/75 is a given fraction,
The decimal expansion of 102/75 is 1.36

102/75 as a Mixed Number
102/75 = (75 + 27)/75
= 75/75 + 27/75
= 1 + 27/75
= 1 27/75
102/75 = 1 27/75

Hence,
102/75 as a mixed number is 1 ²⁷/₇₅
where,
102/75 is a given fraction,
1 ²⁷/₇₅ is the mixed number representation of 102/75.

The below work with steps provide the detailed information about how to convert fraction 102/75 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 102/75

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 102/75.

step 2 The numerator is greater than the denominator of the fraction 102/75, so write the given fraction in the expression form in terms of denominator as like the below:
= 102/75
= 75 + 27/75

step 3 Make the above expression as individual fractions:
= 75/75 + 27/75

step 4 Simplify the above expression:
= 1 x 75/75 + 27/75
= 1 + 27/75
= 1 + 9 x 3/25 x 3
= 1 + 9/25
1 + 9/25 can be written as a mixed number 1 ⁹/₂₅.


step 5 Find the decimal equivalent for the fractional part 9/25 in the above expression:
Multiply both numerator and denominator by 4 to make the denominator as powers of 10:
= 1 + (9/25 x 4/4)
= 1 + 36/100

step 6 Simplify the above expression further:
= 1 + 0.36
= 1.36
102/75 = 1.36

Hence,
102/75 as a decimal is 1.36
102/75 as a mixed number is 1 ⁹/₂₅