100/9 as a Decimal and Mixed Number

100/9 as a decimal and mixed number expansion provides the detailed information about what is 100/9 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

100/9 as a Decimal
100/9 = 11.1111
Hence,
100/9 as a decimal equals to 11.1111
where,
100/9 is a given fraction,
The decimal expansion of 100/9 is 11.1111

100/9 as a Mixed Number
100/9 = (99 + 1)/9
= 99/9 + 1/9
= 11 + 1/9
= 11 1/9
100/9 = 11 1/9

Hence,
100/9 as a mixed number is 11 ¹/₉
where,
100/9 is a given fraction,
11 ¹/₉ is the mixed number representation of 100/9.

The below work with steps provide the detailed information about how to convert fraction 100/9 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 100/9

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 100/9.

step 2 The numerator is greater than the denominator of the fraction 100/9, so write the given fraction in the expression form in terms of denominator as like the below:
= 100/9
= 99 + 1/9
= (11 x 9) + 1/9

step 3 Make the above expression as individual fractions:
= (11 x 9)/9 + 1/9

step 4 Simplify the above expression:
= 11 x 9/9 + 1/9
= 11 + 1/9
11 + 1/9 can be written as a mixed number 11 ¹/₉.


step 5 Find the decimal equivalent for the fractional part 1/9 in the above expression:
= 11 + 0.1111
= 11.1111
100/9 = 11.1111

Hence,
100/9 as a decimal is 11.1111
100/9 as a mixed number is 11 ¹/₉