101/102 as a Decimal

101/102 as a decimal expansion provides the detailed information about what is 101/102 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

101/102 as a Decimal
101/102 = 0.9902
Hence,
101/102 as a decimal equals to 0.9902
where,
101/102 is a given fraction,
The decimal expansion of 101/102 is 0.9902

101/102 as a Mixed Number
The given fraction 101/102 can't be represented as a mixed number since the numerator 101 of the given fraction is smaller than the denominator 102.

The below work with steps provide the detailed information about how to convert fraction 101/102 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 101/102

What to be found:
Find the decimal expansion of fraction 101/102.

step 2 The numerator is smaller than the denominator of the fraction 101/102, 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 101/102.
= 101/102 x 10/10

step 3 Rearrange the fraction as like the below:
= 10 x 101/102 x 1/10
= 1010/102 x 1/10

step 4 Simplify the above expression further:
= 1010/102 x 1/10
= 918 + 92/102 x 1/10
= ( 918/102 + 92/102) x 1/10
= (9 + 92/102 ) x 1/10

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 92/102 in the above expression:
= (9 + 92/102 ) x 1/10
= (9 + 0.902) x 1/10

step 6 Simplify the above expression further:
= (9 + 0.902) x 1/10
= 9.902 x 1/10
= 9.902/10
101/102= 0.9902

Hence,
101/102 as a decimal is 0.9902