109/121 as a Decimal

109/121 as a decimal expansion provides the detailed information about what is 109/121 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

109/121 as a Decimal
109/121 = 0.9008
Hence,
109/121 as a decimal equals to 0.9008
where,
109/121 is a given fraction,
The decimal expansion of 109/121 is 0.9008

109/121 as a Mixed Number
The given fraction 109/121 can't be represented as a mixed number since the numerator 109 of the given fraction is smaller than the denominator 121.

The below work with steps provide the detailed information about how to convert fraction 109/121 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 109/121

What to be found:
Find the decimal expansion of fraction 109/121.

step 2 The numerator is smaller than the denominator of the fraction 109/121, 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 109/121.
= 109/121 x 10/10

step 3 Rearrange the fraction as like the below:
= 10 x 109/121 x 1/10
= 1090/121 x 1/10

step 4 Simplify the above expression further:
= 1090/121 x 1/10
= 1089 + 1/121 x 1/10
= ( 1089/121 + 1/121) x 1/10
= (9 + 1/121 ) x 1/10

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 1/121 in the above expression:
= (9 + 1/121 ) x 1/10
= (9 + 0.008) x 1/10

step 6 Simplify the above expression further:
= (9 + 0.008) x 1/10
= 9.008 x 1/10
= 9.008/10
109/121= 0.9008

Hence,
109/121 as a decimal is 0.9008