8/39 as a Decimal
8/39 as a decimal expansion provides the detailed information about what is 8/39 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
8/39 as a Decimal Expansion
8/39 = 0.2051
Hence,
8/39 as a decimal equals to 0.2051
where,
8/39 is a given fraction,
The decimal expansion of 8/39 is 0.2051
8/39 as a Mixed Number
The given fraction 8/39 can't be represented as a mixed number since the numerator 8 of the given fraction is smaller than the denominator 39.
How-to: 8/39 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 8/39 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 8/39
What to be found:
Find the decimal expansion of fraction 8/39.
step 2 The numerator is smaller than the denominator of the fraction 8/39, 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 8/39.
= 8/39 x 100/100
step 3 Rearrange the fraction as like the below:
= 100 x 8/39 x 1/100
= 800/39 x 1/100
step 4 Simplify the above expression further:
= 800/39 x 1/100
= 780 + 20/39 x 1/100
= ( 780/39 + 20/39) x 1/100
= (20 + 20/39 ) x 1/100
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 20/39 in the above expression:
= (20 + 20/39 ) x 1/100
= (20 + 0.513) x 1/100
step 6 Simplify the above expression further:
= (20 + 0.513) x 1/100
= 20.513 x 1/100
= 20.513/100
8/39= 0.20513
Hence,
8/39 as a decimal is 0.20513
