# 8/21 as a Decimal 8/21 as a decimal expansion provides the detailed information about what is 8/21 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

8/21 as a Decimal Expansion
8/21 = 0.381
Hence,
8/21 as a decimal equals to 0.381
where,
8/21 is a given fraction,
The decimal expansion of 8/21 is 0.381

8/21 as a Mixed Number
The given fraction 8/21 can't be represented as a mixed number since the numerator 8 of the given fraction is smaller than the denominator 21.

For values other than 8/21, use this below tool:

## How-to: 8/21 as a Decimal

The below work with steps provide the detailed information about how to convert fraction 8/21 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 8/21

What to be found:
Find the decimal expansion of fraction 8/21.

step 2 The numerator is smaller than the denominator of the fraction 8/21, 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 8/21.
= 8/21 x 100/100

step 3 Rearrange the fraction as like the below:
= 100 x 8/21 x 1/100
= 800/21 x 1/100

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

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 2/21 in the above expression:
= (38 + 2/21 ) x 1/100
= (38 + 0.095) x 1/100

step 6 Simplify the above expression further:
= (38 + 0.095) x 1/100
= 38.095 x 1/100
= 38.095/100
8/21= 0.38095

Hence,
8/21 as a decimal is 0.38095 