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Answer :

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