118/121 as a Decimal

118/121 as a decimal expansion provides the detailed information about what is 118/121 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

118/121 as a Decimal
118/121 = 0.9752
Hence,
118/121 as a decimal equals to 0.9752
where,
118/121 is a given fraction,
The decimal expansion of 118/121 is 0.9752

118/121 as a Mixed Number
The given fraction 118/121 can't be represented as a mixed number since the numerator 118 of the given fraction is smaller than the denominator 121.

The below work with steps provide the detailed information about how to convert fraction 118/121 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 118/121

What to be found:
Find the decimal expansion of fraction 118/121.

step 2 The numerator is smaller than the denominator of the fraction 118/121, 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 118/121.
= 118/121 x 10/10

step 3 Rearrange the fraction as like the below:
= 10 x 118/121 x 1/10
= 1180/121 x 1/10

step 4 Simplify the above expression further:
= 1180/121 x 1/10
= 1089 + 91/121 x 1/10
= ( 1089/121 + 91/121) x 1/10
= (9 + 91/121 ) x 1/10

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 91/121 in the above expression:
= (9 + 91/121 ) x 1/10
= (9 + 0.752) x 1/10

step 6 Simplify the above expression further:
= (9 + 0.752) x 1/10
= 9.752 x 1/10
= 9.752/10
118/121= 0.9752

Hence,
118/121 as a decimal is 0.9752