90/11 as a Decimal and Mixed Number

90/11 as a decimal and mixed number expansion provides the detailed information about what is 90/11 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

90/11 as a Decimal Expansion
90/11 = 8.1818
Hence,
90/11 as a decimal equals to 8.1818
where,
90/11 is a given fraction,
The decimal expansion of 90/11 is 8.1818

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

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

The below work with steps provide the detailed information about how to convert fraction 90/11 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 90/11

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 90/11.

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

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

step 4 Simplify the above expression:
= 8 x 11/11 + 2/11
= 8 + 2/11
8 + 2/11 can be written as a mixed number 8 ²/₁₁.


step 5 Find the decimal equivalent for the fractional part 2/11 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 2/11. Since the denominator is having 1 more digit than the numerator, multiply 100 with both numerator and denominator of 2/11.
= 8 + (2/11 x 100/100)

step 6 Simplify the above expression further:
= 8 + (200/11 x 1/100)
= 8 + (198 + 2/11 x 1/100)
= 8 + [(198/11 + 2/11 ) x 1/100]
= 8 + [(18 + 2/11) x 1/100]

step 7 Repeat the step 5 to find the decimal equivalent for the fraction 2/11 in the above expression:
= 8 + [(18 + 2/11) x 1/100]
= 8 + [(18 + 0.18) x 1/100]
= 8 + (18.18 x 1/100)
= 8 + 18.18/100
= 8 + 0.1818

step 8 Find the sum of above expression:
= 8 + 0.1818
= 8.1818
90/11 = 8.1818

Hence,
90/11 as a decimal is 8.1818
90/11 as a mixed number is 8 ²/₁₁