20/142 as a Decimal

20/142 as a decimal expansion provides the detailed information about what is 20/142 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

20/142 as a Decimal
20/142 = 0.1408
Hence,
20/142 as a decimal equals to 0.1408
where,
20/142 is a given fraction,
The decimal expansion of 20/142 is 0.1408

20/142 as a Mixed Number
The given fraction 20/142 can't be represented as a mixed number since the numerator 20 of the given fraction is smaller than the denominator 142.

The below work with steps provide the detailed information about how to convert fraction 20/142 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 20/142

What to be found:
Find the decimal expansion of fraction 20/142.

step 2 The numerator is smaller than the denominator of the fraction 20/142, so find how many 10s should be multiplied with both numerator and denominator. Since the denominator is having 1 more digits than the numerator, multiply 100 with both numerator and denominator of 20/142.
= 20/142 x 100/100

step 3 Rearrange the fraction as like the below:
= 100 x 20/142 x 1/100
= 2000/142 x 1/100

step 4 Simplify the above expression further:
= 2000/142 x 1/100
= 1988 + 12/142 x 1/100
= ( 1988/142 + 12/142) x 1/100
= (14 + 12/142 ) x 1/100

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 12/142 in the above expression:
= (14 + 12/142 ) x 1/100
= (14 + 0.085) x 1/100

step 6 Simplify the above expression further:
= (14 + 0.085) x 1/100
= 14.085 x 1/100
= 14.085/100
20/142= 0.14085

Hence,
20/142 as a decimal is 0.14085