66/8 as a Decimal and Mixed Number

66/8 as a decimal and mixed number expansion provides the detailed information about what is 66/8 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

66/8 as a Decimal
66/8 = 8.25
Hence,
66/8 as a decimal equals to 8.25
where,
66/8 is a given fraction,
The decimal expansion of 66/8 is 8.25

66/8 as a Mixed Number
66/8 = (64 + 2)/8
= 64/8 + 2/8
= 8 + 2/8
= 8 2/8
66/8 = 8 2/8

Hence,
66/8 as a mixed number is 8 ²/₈
where,
66/8 is a given fraction,
8 ²/₈ is the mixed number representation of 66/8.

The below work with steps provide the detailed information about how to convert fraction 66/8 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 66/8

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 66/8.

step 2 The numerator is greater than the denominator of the fraction 66/8, so write the given fraction in the expression form in terms of denominator as like the below:
= 66/8
= 64 + 2/8
= (8 x 8) + 2/8

step 3 Make the above expression as individual fractions:
= (8 x 8)/8 + 2/8

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


step 5 Find the decimal equivalent for the fractional part 1/4 in the above expression:
Multiply both numerator and denominator by 25 to make the denominator as powers of 10:
= 8 + (1/4 x 25/25)
= 8 + 25/100

step 6 Simplify the above expression further:
= 8 + 0.25
= 8.25
66/8 = 8.25

Hence,
66/8 as a decimal is 8.25
66/8 as a mixed number is 8 ¹/₄