21/271 as a Decimal

21/271 as a decimal expansion provides the detailed information about what is 21/271 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

21/271 as a Decimal
21/271 = 0.0775
Hence,
21/271 as a decimal equals to 0.0775
where,
21/271 is a given fraction,
The decimal expansion of 21/271 is 0.0775

21/271 as a Mixed Number
The given fraction 21/271 can't be represented as a mixed number since the numerator 21 of the given fraction is smaller than the denominator 271.

The below work with steps provide the detailed information about how to convert fraction 21/271 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 21/271

What to be found:
Find the decimal expansion of fraction 21/271.

step 2 The numerator is smaller than the denominator of the fraction 21/271, 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 21/271.
= 21/271 x 100/100

step 3 Rearrange the fraction as like the below:
= 100 x 21/271 x 1/100
= 2100/271 x 1/100

step 4 Simplify the above expression further:
= 2100/271 x 1/100
= 1897 + 203/271 x 1/100
= ( 1897/271 + 203/271) x 1/100
= (7 + 203/271 ) x 1/100

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 203/271 in the above expression:
= (7 + 203/271 ) x 1/100
= (7 + 0.749) x 1/100

step 6 Simplify the above expression further:
= (7 + 0.749) x 1/100
= 7.749 x 1/100
= 7.749/100
21/271= 0.07749

Hence,
21/271 as a decimal is 0.07749