102/27 as a Decimal and Mixed Number

102/27 as a decimal and mixed number expansion provides the detailed information about what is 102/27 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

102/27 as a Decimal
102/27 = 3.7778
Hence,
102/27 as a decimal equals to 3.7778
where,
102/27 is a given fraction,
The decimal expansion of 102/27 is 3.7778

102/27 as a Mixed Number
102/27 = (81 + 21)/27
= 81/27 + 21/27
= 3 + 21/27
= 3 21/27
102/27 = 3 21/27

Hence,
102/27 as a mixed number is 3 ²¹/₂₇
where,
102/27 is a given fraction,
3 ²¹/₂₇ is the mixed number representation of 102/27.

The below work with steps provide the detailed information about how to convert fraction 102/27 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 102/27

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 102/27.

step 2 The numerator is greater than the denominator of the fraction 102/27, so write the given fraction in the expression form in terms of denominator as like the below:
= 102/27
= 81 + 21/27
= (3 x 27) + 21/27

step 3 Make the above expression as individual fractions:
= (3 x 27)/27 + 21/27

step 4 Simplify the above expression:
= 3 x 27/27 + 21/27
= 3 + 21/27
= 3 + 7 x 3/9 x 3
= 3 + 7/9
3 + 7/9 can be written as a mixed number 3 ⁷/₉.


step 5 Find the decimal equivalent for the fractional part 7/9 in the above expression:
= 3 + 0.7778
= 3.7778
102/27 = 3.7778

Hence,
102/27 as a decimal is 3.7778
102/27 as a mixed number is 3 ⁷/₉