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A factory makes sheets of metal that are $\frac{1}{2}$ of an inch thick. If a worker at the factory makes a stack of $3$ of the sheets, how many inches thick will the stack be? $\newline$ Write your answer as a fraction or as a whole or mixed number. $\newline$ $\_\_\_$ inches

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Multiply fractions by whole numbers: word problems

Full solution

Q. A factory makes sheets of metal that are

\frac{1}{2}

of an inch thick. If a worker at the factory makes a stack of

3

of the sheets, how many inches thick will the stack be?

\newline

Write your answer as a fraction or as a whole or mixed number.

\newline

\_\_\_

inches

Understand the problem: Step $1$ : Understand the problem. $\newline$ Each metal sheet is $\frac{1}{2}$ inch thick. We need to find the total thickness of a stack of $3$ sheets.
Calculate total thickness: Step $2$ : Calculate the total thickness. $\newline$ Total thickness = $3$ sheets $\times \frac{1}{2}$ inch per sheet = $\frac{3}{2}$ inches.
Convert fraction to mixed number: Step $3$ : Convert the fraction to a mixed number. $\frac{3}{2}$ inches is the same as $1\frac{1}{2}$ inches.

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