9/99 as a decimal expansion provides the detailed information about what is 9/99 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
9/99 as a Decimal
9/99 = 0.0909
Hence,
9/99 as a decimal equals to 0.0909
where,
9/99 is a given fraction,
The decimal expansion of 9/99 is 0.0909
9/99 as a Mixed Number
The given fraction 9/99 can't be represented as a mixed number since the numerator 9 of the given fraction is smaller than the denominator 99.
The below work with steps provide the detailed information about how to convert fraction 9/99 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 9/99
What to be found:
Find the decimal expansion of fraction 9/99.
step 2 The numerator is smaller than the denominator of the fraction 9/99, 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 9/99.
= 9/99 x 100/100
step 3 Rearrange the fraction as like the below:
= 100 x 9/99 x 1/100
= 900/99 x 1/100
step 4 Simplify the above expression further:
= 900/99 x 1/100
= 891 + 9/99 x 1/100
= ( 891/99 + 9/99) x 1/100
= (9 + 9/99 ) x 1/100
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 9/99 in the above expression:
= (9 + 9/99 ) x 1/100
= (9 + 0.091) x 1/100
step 6 Simplify the above expression further:
= (9 + 0.091) x 1/100
= 9.091 x 1/100
= 9.091/100
9/99= 0.09091
Hence,
9/99 as a decimal is 0.09091