77/8 as a Decimal and Mixed Number

77/8 as a decimal and mixed number expansion provides the detailed information about what is 77/8 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

77/8 as a Decimal Expansion
77/8 = 9.625
Hence,
77/8 as a decimal equals to 9.625
where,
77/8 is a given fraction,
The decimal expansion of 77/8 is 9.625

77/8 as a Mixed Number
77/8 = (72 + 5)/8
= 72/8 + 5/8
= 9 + 5/8
= 9 5/8
77/8 = 9 5/8

Hence,
77/8 as a mixed number is 9 ⁵/₈
where,
77/8 is a given fraction,
9 ⁵/₈ is the mixed number representation of 77/8.

The below work with steps provide the detailed information about how to convert fraction 77/8 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 77/8

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 77/8.

step 2 The numerator is greater than the denominator of the fraction 77/8, so write the given fraction in the expression form in terms of denominator as like the below:
= 77/8
= 72 + 5/8
= (9 x 8) + 5/8

step 3 Make the above expression as individual fractions:
= (9 x 8)/8 + 5/8

step 4 Simplify the above expression:
= 9 x 8/8 + 5/8
= 9 + 5/8
9 + 5/8 can be written as a mixed number 9 ⁵/₈.


step 5 Find the decimal equivalent for the fractional part 5/8 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 5/8. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 5/8.
= 9 + (5/8 x 10/10)

step 6 Simplify the above expression further:
= 9 + (50/8 x 1/10)
= 9 + (48 + 2/8 x 1/10)
= 9 + [(48/8 + 2/8 ) x 1/10]
= 9 + [(6 + 2/8) x 1/10]

step 7 Repeat the step 5 to find the decimal equivalent for the fraction 2/8 in the above expression:
= 9 + [(6 + 2/8) x 1/10]
= 9 + [(6 + 0.25) x 1/10]
= 9 + (6.25 x 1/10)
= 9 + 6.25/10
= 9 + 0.625

step 8 Find the sum of above expression:
= 9 + 0.625
= 9.625
77/8 = 9.625

Hence,
77/8 as a decimal is 9.625
77/8 as a mixed number is 9 ⁵/₈