11/131 as a decimal expansion provides the detailed information about what is 11/131 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
11/131 as a Decimal
11/131 = 0.084
Hence,
11/131 as a decimal equals to 0.084
where,
11/131 is a given fraction,
The decimal expansion of 11/131 is 0.084
11/131 as a Mixed Number
The given fraction 11/131 can't be represented as a mixed number since the numerator 11 of the given fraction is smaller than the denominator 131.
The below work with steps provide the detailed information about how to convert fraction 11/131 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 11/131
What to be found:
Find the decimal expansion of fraction 11/131.
step 2 The numerator is smaller than the denominator of the fraction 11/131, 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 11/131.
= 11/131 x 100/100
step 3 Rearrange the fraction as like the below:
= 100 x 11/131 x 1/100
= 1100/131 x 1/100
step 4 Simplify the above expression further:
= 1100/131 x 1/100
= 1048 + 52/131 x 1/100
= ( 1048/131 + 52/131) x 1/100
= (8 + 52/131 ) x 1/100
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 52/131 in the above expression:
= (8 + 52/131 ) x 1/100
= (8 + 0.397) x 1/100
step 6 Simplify the above expression further:
= (8 + 0.397) x 1/100
= 8.397 x 1/100
= 8.397/100
11/131= 0.08397
Hence,
11/131 as a decimal is 0.08397