8/29 as a Decimal

8/29 as a decimal expansion provides the detailed information about what is 8/29 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

8/29 as a Decimal
8/29 = 0.2759
Hence,
8/29 as a decimal equals to 0.2759
where,
8/29 is a given fraction,
The decimal expansion of 8/29 is 0.2759

8/29 as a Mixed Number
The given fraction 8/29 can't be represented as a mixed number since the numerator 8 of the given fraction is smaller than the denominator 29.

The below work with steps provide the detailed information about how to convert fraction 8/29 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 8/29

What to be found:
Find the decimal expansion of fraction 8/29.

step 2 The numerator is smaller than the denominator of the fraction 8/29, 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 8/29.
= 8/29 x 100/100

step 3 Rearrange the fraction as like the below:
= 100 x 8/29 x 1/100
= 800/29 x 1/100

step 4 Simplify the above expression further:
= 800/29 x 1/100
= 783 + 17/29 x 1/100
= ( 783/29 + 17/29) x 1/100
= (27 + 17/29 ) x 1/100

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 17/29 in the above expression:
= (27 + 17/29 ) x 1/100
= (27 + 0.586) x 1/100

step 6 Simplify the above expression further:
= (27 + 0.586) x 1/100
= 27.586 x 1/100
= 27.586/100
8/29= 0.27586

Hence,
8/29 as a decimal is 0.27586