9/55 as a Decimal
9/55 as a decimal expansion provides the detailed information about what is 9/55 in decimal form, and the answer with steps help students to easily understand how it is being calculated.
9/55 as a Decimal Expansion
9/55 = 0.1636
Hence,
9/55 as a decimal equals to 0.1636
where,
9/55 is a given fraction,
The decimal expansion of 9/55 is 0.1636
9/55 as a Mixed Number
The given fraction 9/55 can't be represented as a mixed number since the numerator 9 of the given fraction is smaller than the denominator 55.
How-to: 9/55 as a Decimal
The below work with steps provide the detailed information about how to convert fraction 9/55 as a decimal equivalent.
step 1 Address the input parameters and observe what to be found:
Input values:
The fraction = 9/55
What to be found:
Find the decimal expansion of fraction 9/55.
step 2 The numerator is smaller than the denominator of the fraction 9/55, 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 9/55.
= 9/55 x 100/100
step 3 Rearrange the fraction as like the below:
= 100 x 9/55 x 1/100
= 900/55 x 1/100
step 4 Simplify the above expression further:
= 900/55 x 1/100
= 880 + 20/55 x 1/100
= ( 880/55 + 20/55) x 1/100
= (16 + 20/55 ) x 1/100
step 5 Repeat the step 2 to find the decimal equivalent for the fraction 20/55 in the above expression:
= (16 + 20/55 ) x 1/100
= (16 + 0.364) x 1/100
step 6 Simplify the above expression further:
= (16 + 0.364) x 1/100
= 16.364 x 1/100
= 16.364/100
9/55= 0.16364
Hence,
9/55 as a decimal is 0.16364
