112/137 as a decimal expansion provides the detailed information about what is 112/137 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
112/137 as a Decimal
112/137 = 0.8175
Hence,
112/137 as a decimal equals to 0.8175
where,
112/137 is a given fraction,
The decimal expansion of 112/137 is 0.8175
112/137 as a Mixed Number
The given fraction 112/137 can't be represented as a mixed number since the numerator 112 of the given fraction is smaller than the denominator 137.
The below work with steps provide the detailed information about how to convert fraction 112/137 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 112/137
What to be found:
Find the decimal expansion of fraction 112/137.
step 2 The numerator is smaller than the denominator of the fraction 112/137, 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 112/137.
= 112/137 x 10/10
step 3 Rearrange the fraction as like the below:
= 10 x 112/137 x 1/10
= 1120/137 x 1/10
step 4 Simplify the above expression further:
= 1120/137 x 1/10
= 1096 + 24/137 x 1/10
= ( 1096/137 + 24/137) x 1/10
= (8 + 24/137 ) x 1/10
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 24/137 in the above expression:
= (8 + 24/137 ) x 1/10
= (8 + 0.175) x 1/10
step 6 Simplify the above expression further:
= (8 + 0.175) x 1/10
= 8.175 x 1/10
= 8.175/10
112/137= 0.8175
Hence,
112/137 as a decimal is 0.8175