20/118 as a Decimal

20/118 as a decimal expansion provides the detailed information about what is 20/118 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

20/118 as a Decimal
20/118 = 0.1695
Hence,
20/118 as a decimal equals to 0.1695
where,
20/118 is a given fraction,
The decimal expansion of 20/118 is 0.1695

20/118 as a Mixed Number
The given fraction 20/118 can't be represented as a mixed number since the numerator 20 of the given fraction is smaller than the denominator 118.

The below work with steps provide the detailed information about how to convert fraction 20/118 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 20/118

What to be found:
Find the decimal expansion of fraction 20/118.

step 2 The numerator is smaller than the denominator of the fraction 20/118, 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 20/118.
= 20/118 x 100/100

step 3 Rearrange the fraction as like the below:
= 100 x 20/118 x 1/100
= 2000/118 x 1/100

step 4 Simplify the above expression further:
= 2000/118 x 1/100
= 1888 + 112/118 x 1/100
= ( 1888/118 + 112/118) x 1/100
= (16 + 112/118 ) x 1/100

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 112/118 in the above expression:
= (16 + 112/118 ) x 1/100
= (16 + 0.949) x 1/100

step 6 Simplify the above expression further:
= (16 + 0.949) x 1/100
= 16.949 x 1/100
= 16.949/100
20/118= 0.16949

Hence,
20/118 as a decimal is 0.16949