21/11 as a Decimal and Mixed Number

21/11 as a decimal and mixed number expansion provides the detailed information about what is 21/11 in decimal and mixed number form, and the answer with steps help students to easily understand how it is being calculated.

21/11 as a Decimal
21/11 = 1.9091
Hence,
21/11 as a decimal equals to 1.9091
where,
21/11 is a given fraction,
The decimal expansion of 21/11 is 1.9091

21/11 as a Mixed Number
21/11 = (11 + 10)/11
= 11/11 + 10/11
= 1 + 10/11
= 1 10/11
21/11 = 1 10/11

Hence,
21/11 as a mixed number is 1 ¹⁰/₁₁
where,
21/11 is a given fraction,
1 ¹⁰/₁₁ is the mixed number representation of 21/11.

The below work with steps provide the detailed information about how to convert fraction 21/11 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 21/11

What to be found:
Find the equivalent decimal expansion and mixed number for fraction 21/11.

step 2 The numerator is greater than the denominator of the fraction 21/11, so write the given fraction in the expression form in terms of denominator as like the below:
= 21/11
= 11 + 10/11

step 3 Make the above expression as individual fractions:
= 11/11 + 10/11

step 4 Simplify the above expression:
= 1 x 11/11 + 10/11
= 1 + 10/11
1 + 10/11 can be written as a mixed number 1 ¹⁰/₁₁.


step 5 Find the decimal equivalent for the fractional part 10/11 in the above expression:
= 1 + 0.9091
= 1.9091
21/11 = 1.9091

Hence,
21/11 as a decimal is 1.9091
21/11 as a mixed number is 1 ¹⁰/₁₁