Question

How to change 9.15 to a fraction

Answer 1

The 1 is in the tenths place and the 5 is in the hundredths place, so we know that the denominator will be 100.
The numerator will be 15, since that is the decimal.


`9 (15)/(100)`

To simplify, first find the GCF between 15 and 100.


`15:1,3,5,15 \\ 100:1,2,4,5,10,20,25,50,100 \\ common:1,5 \\ GCF:5`

Now, to get the fully simplified mixed number, divide the numerator and denominator both by the GCF.


`9 (15:5)/(100:5) \\ \\ 9 (3)/(20)`

To convert the mixed number into an improper fraction, multiply the whole number by the denominator and add it to the numerator, keeping the denominator. This will be your final answer.


`(9*20+3)/(20) \\ \\ (180+3)/(20) \\ \\ (183)/(20)`