8/65 as a decimal expansion provides the detailed information about what is 8/65 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
8/65 as a Decimal Expansion
8/65 = 0.1231
Hence,
8/65 as a decimal equals to 0.1231
where,
8/65 is a given fraction,
The decimal expansion of 8/65 is 0.1231
8/65 as a Mixed Number
The given fraction 8/65 can't be represented as a mixed number since the numerator 8 of the given fraction is smaller than the denominator 65.
The below work with steps provide the detailed information about how to convert fraction 8/65 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 8/65
What to be found:
Find the decimal expansion of fraction 8/65.
step 2 The numerator is smaller than the denominator of the fraction 8/65, 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 8/65.
= 8/65 x 100/100
step 3 Rearrange the fraction as like the below:
= 100 x 8/65 x 1/100
= 800/65 x 1/100
step 4 Simplify the above expression further:
= 800/65 x 1/100
= 780 + 20/65 x 1/100
= ( 780/65 + 20/65) x 1/100
= (12 + 20/65 ) x 1/100
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 20/65 in the above expression:
= (12 + 20/65 ) x 1/100
= (12 + 0.308) x 1/100
step 6 Simplify the above expression further:
= (12 + 0.308) x 1/100
= 12.308 x 1/100
= 12.308/100
8/65= 0.12308
Hence,
8/65 as a decimal is 0.12308