8/132 as a decimal expansion provides the detailed information about what is 8/132 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
8/132 as a Decimal
8/132 = 0.0606
Hence,
8/132 as a decimal equals to 0.0606
where,
8/132 is a given fraction,
The decimal expansion of 8/132 is 0.0606
8/132 as a Mixed Number
The given fraction 8/132 can't be represented as a mixed number since the numerator 8 of the given fraction is smaller than the denominator 132.
The below work with steps provide the detailed information about how to convert fraction 8/132 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 8/132
What to be found:
Find the decimal expansion of fraction 8/132.
step 2 The numerator is smaller than the denominator of the fraction 8/132, so find how many 10s should be multiplied with both numerator and denominator. Since the denominator is having 2 more digits than the numerator, multiply 1000 with both numerator and denominator of 8/132.
= 8/132 x 1000/1000
step 3 Rearrange the fraction as like the below:
= 1000 x 8/132 x 1/1000
= 8000/132 x 1/1000
step 4 Simplify the above expression further:
= 8000/132 x 1/1000
= 7920 + 80/132 x 1/1000
= ( 7920/132 + 80/132) x 1/1000
= (60 + 80/132 ) x 1/1000
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 80/132 in the above expression:
= (60 + 80/132 ) x 1/1000
= (60 + 0.606) x 1/1000
step 6 Simplify the above expression further:
= (60 + 0.606) x 1/1000
= 60.606 x 1/1000
= 60.606/1000
8/132= 0.060606
Hence,
8/132 as a decimal is 0.060606