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Every Wednesday, Wayne works out for $\frac{3}{4}$ of an hour at the fitness center. Every Saturday, he goes to the fitness center again and exercises for $3$ times as long. How much time does Wayne spend at the fitness center in all each week? $\newline$ Write your answer as a whole number, fraction, or mixed number. Simplify any fractions. $\newline$ ____ hours

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Multi-step word problems

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Q. Every Wednesday, Wayne works out for

\frac{3}{4}

of an hour at the fitness center. Every Saturday, he goes to the fitness center again and exercises for

3

times as long. How much time does Wayne spend at the fitness center in all each week?

\newline

Write your answer as a whole number, fraction, or mixed number. Simplify any fractions.

\newline

____ hours

Calculate Workout Time: Calculate how long Wayne works out on Saturday. He works out $3$ times as long as he does on Wednesday, which is $\frac{3}{4}$ of an hour. So, $3 \times \frac{3}{4}$ hour = $\frac{9}{4}$ hours.
Find Total Weekly Time: Add the time Wayne spends working out on Wednesday and Saturday to find the total time spent at the fitness center each week. Wednesday: $\frac{3}{4}$ hour, Saturday: $\frac{9}{4}$ hours. Total = $\frac{3}{4} + \frac{9}{4} = \frac{12}{4}$ hours.
Simplify Total Time: Simplify the total time. $\frac{12}{4}$ hours = $3$ hours.

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