11/109 as a Decimal

11/109 as a decimal expansion provides the detailed information about what is 11/109 in decimal form, and the answer with steps help students to easily understand how it is being calculated.

11/109 as a Decimal
11/109 = 0.1009
Hence,
11/109 as a decimal equals to 0.1009
where,
11/109 is a given fraction,
The decimal expansion of 11/109 is 0.1009

11/109 as a Mixed Number
The given fraction 11/109 can't be represented as a mixed number since the numerator 11 of the given fraction is smaller than the denominator 109.

The below work with steps provide the detailed information about how to convert fraction 11/109 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 11/109

What to be found:
Find the decimal expansion of fraction 11/109.

step 2 The numerator is smaller than the denominator of the fraction 11/109, 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 11/109.
= 11/109 x 100/100

step 3 Rearrange the fraction as like the below:
= 100 x 11/109 x 1/100
= 1100/109 x 1/100

step 4 Simplify the above expression further:
= 1100/109 x 1/100
= 1090 + 10/109 x 1/100
= ( 1090/109 + 10/109) x 1/100
= (10 + 10/109 ) x 1/100

step 5 Repeat the step 2 to find the decimal equivalent for the fraction 10/109 in the above expression:
= (10 + 10/109 ) x 1/100
= (10 + 0.092) x 1/100

step 6 Simplify the above expression further:
= (10 + 0.092) x 1/100
= 10.092 x 1/100
= 10.092/100
11/109= 0.10092

Hence,
11/109 as a decimal is 0.10092