76/8 as a Decimal and Mixed Number

76/8 as a decimal and mixed number expansion provides the detailed information about what is 76/8 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

76/8 as a Decimal
76/8 = 9.5
Hence,
76/8 as a decimal equals to 9.5
where,
76/8 is a given fraction,
The decimal expansion of 76/8 is 9.5

76/8 as a Mixed Number
76/8 = (72 + 4)/8
= 72/8 + 4/8
= 9 + 4/8
= 9 4/8
76/8 = 9 4/8

Hence,
76/8 as a mixed number is 9 ⁴/₈
where,
76/8 is a given fraction,
9 ⁴/₈ is the mixed number representation of 76/8.

The below work with steps provide the detailed information about how to convert fraction 76/8 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 76/8

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 76/8.

step 2 The numerator is greater than the denominator of the fraction 76/8, so write the given fraction in the expression form in terms of denominator as like the below:
= 76/8
= 72 + 4/8
= (9 x 8) + 4/8

step 3 Make the above expression as individual fractions:
= (9 x 8)/8 + 4/8

step 4 Simplify the above expression:
= 9 x 8/8 + 4/8
= 9 + 4/8
= 9 + 1 x 4/2 x 4
= 9 + 1/2
9 + 1/2 can be written as a mixed number 9 ¹/₂.


step 5 Find the decimal equivalent for the fractional part 1/2 in the above expression:
Multiply both numerator and denominator by 5 to make the denominator as powers of 10:
= 9 + (1/2 x 5/5)
= 9 + 5/10

step 6 Simplify the above expression further:
= 9 + 0.5
= 9.5
76/8 = 9.5

Hence,
76/8 as a decimal is 9.5
76/8 as a mixed number is 9 ¹/₂