8/96 as a decimal expansion provides the detailed information about what is 8/96 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
8/96 as a Decimal
8/96 = 0.0833
Hence,
8/96 as a decimal equals to 0.0833
where,
8/96 is a given fraction,
The decimal expansion of 8/96 is 0.0833
8/96 as a Mixed Number
The given fraction 8/96 can't be represented as a mixed number since the numerator 8 of the given fraction is smaller than the denominator 96.
The below work with steps provide the detailed information about how to convert fraction 8/96 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 8/96
What to be found:
Find the decimal expansion of fraction 8/96.
step 2 The numerator is smaller than the denominator of the fraction 8/96, 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 8/96.
= 8/96 x 100/100
step 3 Rearrange the fraction as like the below:
= 100 x 8/96 x 1/100
= 800/96 x 1/100
step 4 Simplify the above expression further:
= 800/96 x 1/100
= 768 + 32/96 x 1/100
= ( 768/96 + 32/96) x 1/100
= (8 + 32/96 ) x 1/100
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 32/96 in the above expression:
= (8 + 32/96 ) x 1/100
= (8 + 0.333) x 1/100
step 6 Simplify the above expression further:
= (8 + 0.333) x 1/100
= 8.333 x 1/100
= 8.333/100
8/96= 0.08333
Hence,
8/96 as a decimal is 0.08333