102/87 as a Decimal and Mixed Number

102/87 as a decimal and mixed number expansion provides the detailed information about what is 102/87 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

102/87 as a Decimal
102/87 = 1.1724
Hence,
102/87 as a decimal equals to 1.1724
where,
102/87 is a given fraction,
The decimal expansion of 102/87 is 1.1724

102/87 as a Mixed Number
102/87 = (87 + 15)/87
= 87/87 + 15/87
= 1 + 15/87
= 1 15/87
102/87 = 1 15/87

Hence,
102/87 as a mixed number is 1 ¹⁵/₈₇
where,
102/87 is a given fraction,
1 ¹⁵/₈₇ is the mixed number representation of 102/87.

The below work with steps provide the detailed information about how to convert fraction 102/87 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 102/87

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 102/87.

step 2 The numerator is greater than the denominator of the fraction 102/87, so write the given fraction in the expression form in terms of denominator as like the below:
= 102/87
= 87 + 15/87

step 3 Make the above expression as individual fractions:
= 87/87 + 15/87

step 4 Simplify the above expression:
= 1 x 87/87 + 15/87
= 1 + 15/87
= 1 + 5 x 3/29 x 3
= 1 + 5/29
1 + 5/29 can be written as a mixed number 1 ⁵/₂₉.


step 5 Find the decimal equivalent for the fractional part 5/29 in the above expression:
= 1 + 0.1724
= 1.1724
102/87 = 1.1724

Hence,
102/87 as a decimal is 1.1724
102/87 as a mixed number is 1 ⁵/₂₉