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.
[tex]9 \frac{15}{100} [/tex]
To simplify, first find the GCF between 15 and 100.
[tex]15:1,3,5,15 \\ 100:1,2,4,5,10,20,25,50,100 \\ common:1,5 \\ GCF:5[/tex]
Now, to get the fully simplified mixed number, divide the numerator and denominator both by the GCF.
[tex]9 \frac{15:5}{100:5} \\ \\ 9 \frac{3}{20} [/tex]
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.
[tex] \frac{9*20+3}{20} \\ \\ \frac{180+3}{20} \\ \\ \frac{183}{20} [/tex]
