265/271 as a Decimal

265/271 as a decimal expansion provides the detailed information about what is 265/271 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

265/271 as a Decimal
265/271 = 0.9779
Hence,
265/271 as a decimal equals to 0.9779
where,
265/271 is a given fraction,
The decimal expansion of 265/271 is 0.9779

265/271 as a Mixed Number
The given fraction 265/271 can't be represented as a mixed number since the numerator 265 of the given fraction is smaller than the denominator 271.

The below work with steps provide the detailed information about how to convert fraction 265/271 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 265/271

What to be found:
Find the decimal expansion of fraction 265/271.

step 2 The numerator is smaller than the denominator of the fraction 265/271, 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 265/271.
= 265/271 x 10/10

step 3 Rearrange the fraction as like the below:
= 10 x 265/271 x 1/10
= 2650/271 x 1/10

step 4 Simplify the above expression further:
= 2650/271 x 1/10
= 2439 + 211/271 x 1/10
= ( 2439/271 + 211/271) x 1/10
= (9 + 211/271 ) x 1/10

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 211/271 in the above expression:
= (9 + 211/271 ) x 1/10
= (9 + 0.779) x 1/10

step 6 Simplify the above expression further:
= (9 + 0.779) x 1/10
= 9.779 x 1/10
= 9.779/10
265/271= 0.9779

Hence,
265/271 as a decimal is 0.9779