90/8 as a Decimal and Mixed Number

90/8 as a decimal and mixed number expansion provides the detailed information about what is 90/8 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

90/8 as a Decimal
90/8 = 11.25
Hence,
90/8 as a decimal equals to 11.25
where,
90/8 is a given fraction,
The decimal expansion of 90/8 is 11.25

90/8 as a Mixed Number
90/8 = (88 + 2)/8
= 88/8 + 2/8
= 11 + 2/8
= 11 2/8
90/8 = 11 2/8

Hence,
90/8 as a mixed number is 11 ²/₈
where,
90/8 is a given fraction,
11 ²/₈ is the mixed number representation of 90/8.

The below work with steps provide the detailed information about how to convert fraction 90/8 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 90/8

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 90/8.

step 2 The numerator is greater than the denominator of the fraction 90/8, so write the given fraction in the expression form in terms of denominator as like the below:
= 90/8
= 88 + 2/8
= (11 x 8) + 2/8

step 3 Make the above expression as individual fractions:
= (11 x 8)/8 + 2/8

step 4 Simplify the above expression:
= 11 x 8/8 + 2/8
= 11 + 2/8
= 11 + 1 x 2/4 x 2
= 11 + 1/4
11 + 1/4 can be written as a mixed number 11 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:
= 11 + (1/4 x 25/25)
= 11 + 25/100

step 6 Simplify the above expression further:
= 11 + 0.25
= 11.25
90/8 = 11.25

Hence,
90/8 as a decimal is 11.25
90/8 as a mixed number is 11 ¹/₄