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Last week, Katy's Fruit Stand sold $\frac{1}{4}$ of a box of apricots. Down the road, Josie's Fruit Stand sold $2\frac{1}{3}$ times as many boxes of apricots as Katy's did. How many boxes of apricots did Josie's Fruit Stand sell? $\newline$ Write your answer as a fraction or as a whole or mixed number. $\newline$ $\_\_\_\_$ boxes

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Multiply mixed numbers: word problems

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Q. Last week, Katy's Fruit Stand sold

\frac{1}{4}

of a box of apricots. Down the road, Josie's Fruit Stand sold

2\frac{1}{3}

times as many boxes of apricots as Katy's did. How many boxes of apricots did Josie's Fruit Stand sell?

\newline

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

\newline

\_\_\_\_

boxes

Identify Amount Sold: Identify the amount Katy sold. $\newline$ Katy sold $\frac{1}{4}$ of a box of apricots.
Calculate Boxes Sold: Calculate how many boxes Josie sold. Josie sold $2 \frac{1}{3}$ times what Katy sold. So, Josie sold $2 \frac{1}{3} \times \frac{1}{4}$ boxes.
Perform Multiplication: Perform the multiplication to find the total. $\newline$ Convert $2\frac{1}{3}$ to an improper fraction: $2\frac{1}{3} = \frac{7}{3}$ . $\newline$ Now multiply: $\frac{7}{3} \times \frac{1}{4} = \frac{7}{12}$ . $\newline$ Josie sold $\frac{7}{12}$ of a box.

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