Clare follows the same workout cycle each time she goes to the gym. First, she runs for 1/3 of an hour. Then, she lifts weights for 1/6 of an hour. If Clare has 1 1/2 hours to spend at the gym, how many times can she go through her workout cycle? Write your answer as a whole number, fraction, or mixed number. Simplify any fractions. ____ times

Calculate total workout time: Calculate the total time Clare spends per workout cycle by adding the time she runs and the time she lifts weights. 1/3 hour (running) + 1/6 hour (lifting) = (2/6 + 1/6) hour = 3/6 hour = 1/2 hour.Determine workout cycles: Determine how many full workout cycles Clare can complete in her total gym time of 1 1/2 hours. 1 1/2 hours = 3/2 hours. Number of cycles = Total gym time / Time per cycle = (3/2) / (1/2) = 3/2 * 2/1 = 3.

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Clare follows the same workout cycle each time she goes to the gym. First, she runs for $\frac{1}{3}$ of an hour. Then, she lifts weights for $\frac{1}{6}$ of an hour. If Clare has $1\frac{1}{2}$ hours to spend at the gym, how many times can she go through her workout cycle? $\newline$ Write your answer as a whole number, fractions" target="_blank" class="backlink">fraction, or mixed number. Simplify any fractions. $\newline$ ____ times

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Q. Clare follows the same workout cycle each time she goes to the gym. First, she runs for

\frac{1}{3}

of an hour. Then, she lifts weights for

\frac{1}{6}

of an hour. If Clare has

1\frac{1}{2}

hours to spend at the gym, how many times can she go through her workout cycle?

\newline

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

\newline

____ times

Calculate total workout time: Calculate the total time Clare spends per workout cycle by adding the time she runs and the time she lifts weights. $\newline$ $\frac{1}{3}$ hour (running) + $\frac{1}{6}$ hour (lifting) = $\left(\frac{2}{6} + \frac{1}{6}\right)$ hour = $\frac{3}{6}$ hour = $\frac{1}{2}$ hour.
Determine workout cycles: Determine how many full workout cycles Clare can complete in her total gym time of $1 \frac{1}{2}$ hours. $\newline$ $1 \frac{1}{2}$ hours = $\frac{3}{2}$ hours. $\newline$ Number of cycles = Total gym time / Time per cycle = $\left(\frac{3}{2}\right) / \left(\frac{1}{2}\right) = \frac{3}{2} \times \frac{2}{1} = 3$ .