137/142 as a Decimal

137/142 as a decimal expansion provides the detailed information about what is 137/142 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

137/142 as a Decimal
137/142 = 0.9648
Hence,
137/142 as a decimal equals to 0.9648
where,
137/142 is a given fraction,
The decimal expansion of 137/142 is 0.9648

137/142 as a Mixed Number
The given fraction 137/142 can't be represented as a mixed number since the numerator 137 of the given fraction is smaller than the denominator 142.

The below work with steps provide the detailed information about how to convert fraction 137/142 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 137/142

What to be found:
Find the decimal expansion of fraction 137/142.

step 2 The numerator is smaller than the denominator of the fraction 137/142, 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 137/142.
= 137/142 x 10/10

step 3 Rearrange the fraction as like the below:
= 10 x 137/142 x 1/10
= 1370/142 x 1/10

step 4 Simplify the above expression further:
= 1370/142 x 1/10
= 1278 + 92/142 x 1/10
= ( 1278/142 + 92/142) x 1/10
= (9 + 92/142 ) x 1/10

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 92/142 in the above expression:
= (9 + 92/142 ) x 1/10
= (9 + 0.648) x 1/10

step 6 Simplify the above expression further:
= (9 + 0.648) x 1/10
= 9.648 x 1/10
= 9.648/10
137/142= 0.9648

Hence,
137/142 as a decimal is 0.9648