98/11 as a Decimal and Mixed Number

98/11 as a decimal and mixed number expansion provides the detailed information about what is 98/11 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

98/11 as a Decimal Expansion
98/11 = 8.9091
Hence,
98/11 as a decimal equals to 8.9091
where,
98/11 is a given fraction,
The decimal expansion of 98/11 is 8.9091

98/11 as a Mixed Number
98/11 = (88 + 10)/11
= 88/11 + 10/11
= 8 + 10/11
= 8 10/11
98/11 = 8 10/11

Hence,
98/11 as a mixed number is 8 ¹⁰/₁₁
where,
98/11 is a given fraction,
8 ¹⁰/₁₁ is the mixed number representation of 98/11.

The below work with steps provide the detailed information about how to convert fraction 98/11 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 98/11

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 98/11.

step 2 The numerator is greater than the denominator of the fraction 98/11, so write the given fraction in the expression form in terms of denominator as like the below:
= 98/11
= 88 + 10/11
= (8 x 11) + 10/11

step 3 Make the above expression as individual fractions:
= (8 x 11)/11 + 10/11

step 4 Simplify the above expression:
= 8 x 11/11 + 10/11
= 8 + 10/11
8 + 10/11 can be written as a mixed number 8 ¹⁰/₁₁.


step 5 Find the decimal equivalent for the fractional part 10/11 in the above expression:
Find how many 10s should be multiplied with both numerator and denominator of fractional part 10/11. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 10/11.
= 8 + (10/11 x 10/10)

step 6 Simplify the above expression further:
= 8 + (100/11 x 1/10)
= 8 + (99 + 1/11 x 1/10)
= 8 + [(99/11 + 1/11 ) x 1/10]
= 8 + [(9 + 1/11) x 1/10]

step 7 Repeat the step 5 to find the decimal equivalent for the fraction 1/11 in the above expression:
= 8 + [(9 + 1/11) x 1/10]
= 8 + [(9 + 0.09) x 1/10]
= 8 + (9.09 x 1/10)
= 8 + 9.09/10
= 8 + 0.909

step 8 Find the sum of above expression:
= 8 + 0.909
= 8.909
98/11 = 8.909

Hence,
98/11 as a decimal is 8.909
98/11 as a mixed number is 8 ¹⁰/₁₁