8/38 as a Decimal

8/38 as a decimal expansion provides the detailed information about what is 8/38 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

8/38 as a Decimal
8/38 = 0.2105
Hence,
8/38 as a decimal equals to 0.2105
where,
8/38 is a given fraction,
The decimal expansion of 8/38 is 0.2105

8/38 as a Mixed Number
The given fraction 8/38 can't be represented as a mixed number since the numerator 8 of the given fraction is smaller than the denominator 38.

The below work with steps provide the detailed information about how to convert fraction 8/38 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 8/38

What to be found:
Find the decimal expansion of fraction 8/38.

step 2 The numerator is smaller than the denominator of the fraction 8/38, 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 8/38.
= 8/38 x 100/100

step 3 Rearrange the fraction as like the below:
= 100 x 8/38 x 1/100
= 800/38 x 1/100

step 4 Simplify the above expression further:
= 800/38 x 1/100
= 798 + 2/38 x 1/100
= ( 798/38 + 2/38) x 1/100
= (21 + 2/38 ) x 1/100

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 2/38 in the above expression:
= (21 + 2/38 ) x 1/100
= (21 + 0.053) x 1/100

step 6 Simplify the above expression further:
= (21 + 0.053) x 1/100
= 21.053 x 1/100
= 21.053/100
8/38= 0.21053

Hence,
8/38 as a decimal is 0.21053