102/71 as a Decimal and Mixed Number

102/71 as a decimal and mixed number expansion provides the detailed information about what is 102/71 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

102/71 as a Decimal
102/71 = 1.4366
Hence,
102/71 as a decimal equals to 1.4366
where,
102/71 is a given fraction,
The decimal expansion of 102/71 is 1.4366

102/71 as a Mixed Number
102/71 = (71 + 31)/71
= 71/71 + 31/71
= 1 + 31/71
= 1 31/71
102/71 = 1 31/71

Hence,
102/71 as a mixed number is 1 ³¹/₇₁
where,
102/71 is a given fraction,
1 ³¹/₇₁ is the mixed number representation of 102/71.

The below work with steps provide the detailed information about how to convert fraction 102/71 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 102/71

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 102/71.

step 2 The numerator is greater than the denominator of the fraction 102/71, so write the given fraction in the expression form in terms of denominator as like the below:
= 102/71
= 71 + 31/71

step 3 Make the above expression as individual fractions:
= 71/71 + 31/71

step 4 Simplify the above expression:
= 1 x 71/71 + 31/71
= 1 + 31/71
1 + 31/71 can be written as a mixed number 1 ³¹/₇₁.


step 5 Find the decimal equivalent for the fractional part 31/71 in the above expression:
= 1 + 0.4366
= 1.4366
102/71 = 1.4366

Hence,
102/71 as a decimal is 1.4366
102/71 as a mixed number is 1 ³¹/₇₁