8/31 as a Decimal
8/31 as a decimal expansion provides the detailed information about what is 8/31 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
8/31 as a Decimal Expansion
8/31 = 0.2581
Hence,
8/31 as a decimal equals to 0.2581
where,
8/31 is a given fraction,
The decimal expansion of 8/31 is 0.2581
8/31 as a Mixed Number
The given fraction 8/31 can't be represented as a mixed number since the numerator 8 of the given fraction is smaller than the denominator 31.
How-to: 8/31 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 8/31 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 8/31
What to be found:
Find the decimal expansion of fraction 8/31.
step 2 The numerator is smaller than the denominator of the fraction 8/31, 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 8/31.
= 8/31 x 100/100
step 3 Rearrange the fraction as like the below:
= 100 x 8/31 x 1/100
= 800/31 x 1/100
step 4 Simplify the above expression further:
= 800/31 x 1/100
= 775 + 25/31 x 1/100
= ( 775/31 + 25/31) x 1/100
= (25 + 25/31 ) x 1/100
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 25/31 in the above expression:
= (25 + 25/31 ) x 1/100
= (25 + 0.806) x 1/100
step 6 Simplify the above expression further:
= (25 + 0.806) x 1/100
= 25.806 x 1/100
= 25.806/100
8/31= 0.25806
Hence,
8/31 as a decimal is 0.25806
