125/137 as a Decimal

125/137 as a decimal expansion provides the detailed information about what is 125/137 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

125/137 as a Decimal
125/137 = 0.9124
Hence,
125/137 as a decimal equals to 0.9124
where,
125/137 is a given fraction,
The decimal expansion of 125/137 is 0.9124

125/137 as a Mixed Number
The given fraction 125/137 can't be represented as a mixed number since the numerator 125 of the given fraction is smaller than the denominator 137.

The below work with steps provide the detailed information about how to convert fraction 125/137 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 125/137

What to be found:
Find the decimal expansion of fraction 125/137.

step 2 The numerator is smaller than the denominator of the fraction 125/137, 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 125/137.
= 125/137 x 10/10

step 3 Rearrange the fraction as like the below:
= 10 x 125/137 x 1/10
= 1250/137 x 1/10

step 4 Simplify the above expression further:
= 1250/137 x 1/10
= 1233 + 17/137 x 1/10
= ( 1233/137 + 17/137) x 1/10
= (9 + 17/137 ) x 1/10

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 17/137 in the above expression:
= (9 + 17/137 ) x 1/10
= (9 + 0.124) x 1/10

step 6 Simplify the above expression further:
= (9 + 0.124) x 1/10
= 9.124 x 1/10
= 9.124/10
125/137= 0.9124

Hence,
125/137 as a decimal is 0.9124