1/11 as a Decimal

1/11 as a decimal expansion provides the detailed information about what is 1/11 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

1/11 as a Decimal Expansion
1/11 = 0.0909
Hence,
1/11 as a decimal equals to 0.0909
where,
1/11 is a given fraction,
The decimal expansion of 1/11 is 0.0909

1/11 as a Mixed Number
The given fraction 1/11 can't be represented as a mixed number since the numerator 1 of the given fraction is smaller than the denominator 11.

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

What to be found:
Find the decimal expansion of fraction 1/11.

step 2 The numerator is smaller than the denominator of the fraction 1/11, so find how many 10s should be multiplied with both numerator and denominator. Since the denominator is having 1 more digits than the numerator, multiply 100 with both numerator and denominator of 1/11.
= 1/11 x 100/100

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

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

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 1/11 in the above expression:
= (9 + 1/11 ) x 1/100
= (9 + 0.091) x 1/100

step 6 Simplify the above expression further:
= (9 + 0.091) x 1/100
= 9.091 x 1/100
= 9.091/100
1/11= 0.09091

Hence,
1/11 as a decimal is 0.09091