6. It takes Marty 1 hours to get ready for school. If of that time is used to shower, what fraction of an hour does it take him to shower?

1/4
1) To find out that information, let's firstly convert that mixed number into an improper fraction:
[tex]1\frac{1}{4}=\frac{4\times1+1}{4}=\frac{5}{4}[/tex]So, by keeping the denominator and multiplying by the whole number, and adding to the former numerator, we'll get the improper fraction.
2) Since Marty takes 1/5 of the time taking a shower
We can write:
[tex]\frac{1}{5}\times\frac{5}{4}=\frac{5}{20}=\frac{1}{4}[/tex]Because 1/5 of ... means multiplication, we can write that.
3) So Marty takes 1/4 of their time preparing to go to school taking a shower
Hence, the answer is 1/4