116/117 as a Decimal

116/117 as a decimal expansion provides the detailed information about what is 116/117 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

116/117 as a Decimal
116/117 = 0.9915
Hence,
116/117 as a decimal equals to 0.9915
where,
116/117 is a given fraction,
The decimal expansion of 116/117 is 0.9915

116/117 as a Mixed Number
The given fraction 116/117 can't be represented as a mixed number since the numerator 116 of the given fraction is smaller than the denominator 117.

The below work with steps provide the detailed information about how to convert fraction 116/117 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 116/117

What to be found:
Find the decimal expansion of fraction 116/117.

step 2 The numerator is smaller than the denominator of the fraction 116/117, 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 116/117.
= 116/117 x 10/10

step 3 Rearrange the fraction as like the below:
= 10 x 116/117 x 1/10
= 1160/117 x 1/10

step 4 Simplify the above expression further:
= 1160/117 x 1/10
= 1053 + 107/117 x 1/10
= ( 1053/117 + 107/117) x 1/10
= (9 + 107/117 ) x 1/10

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 107/117 in the above expression:
= (9 + 107/117 ) x 1/10
= (9 + 0.915) x 1/10

step 6 Simplify the above expression further:
= (9 + 0.915) x 1/10
= 9.915 x 1/10
= 9.915/10
116/117= 0.9915

Hence,
116/117 as a decimal is 0.9915