70/8 as a Decimal and Mixed Number

70/8 as a decimal and mixed number expansion provides the detailed information about what is 70/8 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

70/8 as a Decimal
70/8 = 8.75
Hence,
70/8 as a decimal equals to 8.75
where,
70/8 is a given fraction,
The decimal expansion of 70/8 is 8.75

70/8 as a Mixed Number
70/8 = (64 + 6)/8
= 64/8 + 6/8
= 8 + 6/8
= 8 6/8
70/8 = 8 6/8

Hence,
70/8 as a mixed number is 8 ⁶/₈
where,
70/8 is a given fraction,
8 ⁶/₈ is the mixed number representation of 70/8.

The below work with steps provide the detailed information about how to convert fraction 70/8 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 70/8

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 70/8.

step 2 The numerator is greater than the denominator of the fraction 70/8, so write the given fraction in the expression form in terms of denominator as like the below:
= 70/8
= 64 + 6/8
= (8 x 8) + 6/8

step 3 Make the above expression as individual fractions:
= (8 x 8)/8 + 6/8

step 4 Simplify the above expression:
= 8 x 8/8 + 6/8
= 8 + 6/8
= 8 + 3 x 2/4 x 2
= 8 + 3/4
8 + 3/4 can be written as a mixed number 8 ³/₄.


step 5 Find the decimal equivalent for the fractional part 3/4 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 8 + (3/4 x 25/25)
= 8 + 75/100

step 6 Simplify the above expression further:
= 8 + 0.75
= 8.75
70/8 = 8.75

Hence,
70/8 as a decimal is 8.75
70/8 as a mixed number is 8 ³/₄