68/71 as a Decimal

68/71 as a decimal expansion provides the detailed information about what is 68/71 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

68/71 as a Decimal
68/71 = 0.9577
Hence,
68/71 as a decimal equals to 0.9577
where,
68/71 is a given fraction,
The decimal expansion of 68/71 is 0.9577

68/71 as a Mixed Number
The given fraction 68/71 can't be represented as a mixed number since the numerator 68 of the given fraction is smaller than the denominator 71.

The below work with steps provide the detailed information about how to convert fraction 68/71 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 68/71

What to be found:
Find the decimal expansion of fraction 68/71.

step 2 The numerator is smaller than the denominator of the fraction 68/71, 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 68/71.
= 68/71 x 10/10

step 3 Rearrange the fraction as like the below:
= 10 x 68/71 x 1/10
= 680/71 x 1/10

step 4 Simplify the above expression further:
= 680/71 x 1/10
= 639 + 41/71 x 1/10
= ( 639/71 + 41/71) x 1/10
= (9 + 41/71 ) x 1/10

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 41/71 in the above expression:
= (9 + 41/71 ) x 1/10
= (9 + 0.577) x 1/10

step 6 Simplify the above expression further:
= (9 + 0.577) x 1/10
= 9.577 x 1/10
= 9.577/10
68/71= 0.9577

Hence,
68/71 as a decimal is 0.9577