10/11 as a Decimal

10/11 as a decimal expansion provides the detailed information about what is 10/11 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

10/11 as a Decimal Expansion
10/11 = 0.9091
Hence,
10/11 as a decimal equals to 0.9091
where,
10/11 is a given fraction,
The decimal expansion of 10/11 is 0.9091

10/11 as a Mixed Number
The given fraction 10/11 can't be represented as a mixed number since the numerator 10 of the given fraction is smaller than the denominator 11.

The below work with steps provide the detailed information about how to convert fraction 10/11 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 10/11

What to be found:
Find the decimal expansion of fraction 10/11.

step 2 The numerator is smaller than the denominator of the fraction 10/11, so find how many 10s should be multiplied with both numerator and denominator. Since the number of digits are equal in both numerator and denominator, multiply 10 with both numerator and denominator of 10/11.
= 10/11 x 10/10

step 3 Rearrange the fraction as like the below:
= 10 x 10/11 x 1/10
= 100/11 x 1/10

step 4 Simplify the above expression further:
= 100/11 x 1/10
= 99 + 1/11 x 1/10
= ( 99/11 + 1/11) x 1/10
= (9 + 1/11 ) x 1/10

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 1/11 in the above expression:
= (9 + 1/11 ) x 1/10
= (9 + 0.091) x 1/10

step 6 Simplify the above expression further:
= (9 + 0.091) x 1/10
= 9.091 x 1/10
= 9.091/10
10/11= 0.9091

Hence,
10/11 as a decimal is 0.9091