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Yesterday, Zack's Doughnut Shop sold $\frac{1}{3}$ as many chocolate doughnuts as cinnamon doughnuts. If they sold $\frac{2}{5}$ of a tray of cinnamon doughnuts, how many trays of chocolate doughnuts did they sell? $\newline$ Write your answer as a fraction or as a whole or mixed number. $\newline$ _____ trays

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Multiply fractions: word problems

Full solution

Q. Yesterday, Zack's Doughnut Shop sold

\frac{1}{3}

as many chocolate doughnuts as cinnamon doughnuts. If they sold

\frac{2}{5}

of a tray of cinnamon doughnuts, how many trays of chocolate doughnuts did they sell?

\newline

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

\newline

_____ trays

Identify Fraction of Cinnamon Doughnuts: Step $1$ : Identify the fraction of cinnamon doughnuts sold. Zack's shop sold $\frac{2}{5}$ of a tray of cinnamon doughnuts.
Calculate Chocolate Doughnuts Sold: Step $2$ : Calculate the amount of chocolate doughnuts sold as a fraction of the cinnamon doughnuts. $\newline$ Since they sold $1/3$ as many chocolate doughnuts as cinnamon doughnuts, we multiply the fraction of cinnamon doughnuts sold by $1/3$ . $\newline$ $(2/5) \times (1/3) = 2/15$

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