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A shipment of 9 tons of sugar is separated into containers of equal size. If the shipment fills
4(4)/(5) containers, how much sugar can one container hold?
Write your answer as a mixed number in simplest form.

A shipment of $9$ tons of sugar is separated into containers of equal size. If the shipment fills $4 \frac{4}{5}$ containers, how much sugar can one container hold? $\newline$ Write your answer as a mixed number in simplest form.

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Multiply fractions by whole numbers: word problems

Full solution

Q. A shipment of

9

tons of sugar is separated into containers of equal size. If the shipment fills

4 \frac{4}{5}

containers, how much sugar can one container hold?

\newline

Write your answer as a mixed number in simplest form.

Understand the problem: Step $1$ : Understand the problem. $\newline$ We need to find out how much sugar each container holds if $9$ tons of sugar fills $4$ and $\frac{4}{5}$ containers.
Convert to improper fraction: Step $2$ : Convert the mixed number to an improper fraction. $4$ and $\frac{4}{5}$ is the same as $\left(4\times 5 + 4\right) / 5 = \frac{24}{5}$ .
Calculate sugar per container: Step $3$ : Calculate the amount of sugar per container. $\newline$ Divide the total amount of sugar by the number of containers in improper fraction form. $\newline$ $9$ tons $\div$ $\frac{24}{5}$ = $9 \times \left(\frac{5}{24}\right)$ = $\frac{45}{24}$ = $\frac{15}{8}$ tons.
Convert to mixed number: Step $4$ : Convert the improper fraction to a mixed number. $\frac{15}{8}$ is $1$ and $\frac{7}{8}$ tons.

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