3/11 as a Decimal

3/11 as a decimal expansion provides the detailed information about what is 3/11 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

3/11 as a Decimal Expansion
3/11 = 0.2727
Hence,
3/11 as a decimal equals to 0.2727
where,
3/11 is a given fraction,
The decimal expansion of 3/11 is 0.2727

3/11 as a Mixed Number
The given fraction 3/11 can't be represented as a mixed number since the numerator 3 of the given fraction is smaller than the denominator 11.

The below work with steps provide the detailed information about how to convert fraction 3/11 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 3/11

What to be found:
Find the decimal expansion of fraction 3/11.

step 2 The numerator is smaller than the denominator of the fraction 3/11, 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 3/11.
= 3/11 x 100/100

step 3 Rearrange the fraction as like the below:
= 100 x 3/11 x 1/100
= 300/11 x 1/100

step 4 Simplify the above expression further:
= 300/11 x 1/100
= 297 + 3/11 x 1/100
= ( 297/11 + 3/11) x 1/100
= (27 + 3/11 ) x 1/100

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 3/11 in the above expression:
= (27 + 3/11 ) x 1/100
= (27 + 0.273) x 1/100

step 6 Simplify the above expression further:
= (27 + 0.273) x 1/100
= 27.273 x 1/100
= 27.273/100
3/11= 0.27273

Hence,
3/11 as a decimal is 0.27273