Dominic and Hanson each made a bowl of punch. Hanson used 3 2/5 times as much lemonade as Dominic did. If Dominic used 1/5 of a cup of lemonade, how many cups of lemonade did Hanson use? Write your answer as a fraction or as a whole or mixed number. _____ cups

Identify Lemonade Amount: First, identify the amount of lemonade Dominic used, which is given as 1/5 of a cup. Calculate Hanson's Lemonade: Next, calculate how much lemonade Hanson used by multiplying the amount Dominic used by 3 2/5. Convert 3 2/5 to an improper fraction for easier calculation: 3 2/5 = (3*5 + 2)/5 = 17/5. Multiply Lemonade Amounts: Multiply Dominic's lemonade amount by Hanson's multiplier: (1/5) * (17/5) = 17/25 cups.

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Dominic and Hanson each made a bowl of punch. Hanson used $3\frac{2}{5}$ times as much lemonade as Dominic did. If Dominic used $\frac{1}{5}$ of a cup of lemonade, how many cups of lemonade did Hanson use? $\newline$ Write your answer as a fraction or as a whole or mixed number. $\newline$ _____ cups

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Grade 6

Multiply mixed numbers: word problems

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Q. Dominic and Hanson each made a bowl of punch. Hanson used

3\frac{2}{5}

times as much lemonade as Dominic did. If Dominic used

\frac{1}{5}

of a cup of lemonade, how many cups of lemonade did Hanson use?

\newline

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

\newline

_____ cups

Identify Lemonade Amount: First, identify the amount of lemonade Dominic used, which is given as $\frac{1}{5}$ of a cup.
Calculate Hanson's Lemonade: Next, calculate how much lemonade Hanson used by multiplying the amount Dominic used by $3\frac{2}{5}$ . Convert $3\frac{2}{5}$ to an improper fraction for easier calculation: $3\frac{2}{5} = (3\times 5 + 2)/5 = \frac{17}{5}$ .
Multiply Lemonade Amounts: Multiply Dominic's lemonade amount by Hanson's multiplier: $(\frac{1}{5}) \times (\frac{17}{5}) = \frac{17}{25}$ cups.