71/8 as a Decimal and Mixed Number

71/8 as a decimal and mixed number expansion provides the detailed information about what is 71/8 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

71/8 as a Decimal Expansion
71/8 = 8.875
Hence,
71/8 as a decimal equals to 8.875
where,
71/8 is a given fraction,
The decimal expansion of 71/8 is 8.875

71/8 as a Mixed Number
71/8 = (64 + 7)/8
= 64/8 + 7/8
= 8 + 7/8
= 8 7/8
71/8 = 8 7/8

Hence,
71/8 as a mixed number is 8 ⁷/₈
where,
71/8 is a given fraction,
8 ⁷/₈ is the mixed number representation of 71/8.

The below work with steps provide the detailed information about how to convert fraction 71/8 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 71/8

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 71/8.

step 2 The numerator is greater than the denominator of the fraction 71/8, so write the given fraction in the expression form in terms of denominator as like the below:
= 71/8
= 64 + 7/8
= (8 x 8) + 7/8

step 3 Make the above expression as individual fractions:
= (8 x 8)/8 + 7/8

step 4 Simplify the above expression:
= 8 x 8/8 + 7/8
= 8 + 7/8
8 + 7/8 can be written as a mixed number 8 ⁷/₈.


step 5 Find the decimal equivalent for the fractional part 7/8 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 7/8. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 7/8.
= 8 + (7/8 x 10/10)

step 6 Simplify the above expression further:
= 8 + (70/8 x 1/10)
= 8 + (64 + 6/8 x 1/10)
= 8 + [(64/8 + 6/8 ) x 1/10]
= 8 + [(8 + 6/8) x 1/10]

step 7 Repeat the step 5 to find the decimal equivalent for the fraction 6/8 in the above expression:
= 8 + [(8 + 6/8) x 1/10]
= 8 + [(8 + 0.75) x 1/10]
= 8 + (8.75 x 1/10)
= 8 + 8.75/10
= 8 + 0.875

step 8 Find the sum of above expression:
= 8 + 0.875
= 8.875
71/8 = 8.875

Hence,
71/8 as a decimal is 8.875
71/8 as a mixed number is 8 ⁷/₈