267/271 as a Decimal

267/271 as a decimal expansion provides the detailed information about what is 267/271 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

267/271 as a Decimal
267/271 = 0.9852
Hence,
267/271 as a decimal equals to 0.9852
where,
267/271 is a given fraction,
The decimal expansion of 267/271 is 0.9852

267/271 as a Mixed Number
The given fraction 267/271 can't be represented as a mixed number since the numerator 267 of the given fraction is smaller than the denominator 271.

The below work with steps provide the detailed information about how to convert fraction 267/271 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 267/271

What to be found:
Find the decimal expansion of fraction 267/271.

step 2 The numerator is smaller than the denominator of the fraction 267/271, 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 267/271.
= 267/271 x 10/10

step 3 Rearrange the fraction as like the below:
= 10 x 267/271 x 1/10
= 2670/271 x 1/10

step 4 Simplify the above expression further:
= 2670/271 x 1/10
= 2439 + 231/271 x 1/10
= ( 2439/271 + 231/271) x 1/10
= (9 + 231/271 ) x 1/10

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 231/271 in the above expression:
= (9 + 231/271 ) x 1/10
= (9 + 0.852) x 1/10

step 6 Simplify the above expression further:
= (9 + 0.852) x 1/10
= 9.852 x 1/10
= 9.852/10
267/271= 0.9852

Hence,
267/271 as a decimal is 0.9852