Grayson and Madelyn each made a bowl of punch. Madelyn used 4 1/4 times as much lemonade as Grayson did. If Grayson used 1/2 of a cup of lemonade, how many cups of lemonade did Madelyn use? Write your answer as a fraction or as a whole or mixed number. _____ cups

Question Prompt: Question Prompt: How many cups of lemonade did Madelyn use if she used 4 1/4 times as much as Grayson, who used 1/2 cup? Step 1: Step 1: Identify the amount of lemonade Grayson used. Grayson used 1/2 cup of lemonade. Step 2: Step 2: Calculate the multiplier for the amount of lemonade Madelyn used. Madelyn used 4 1/4 times the amount of lemonade Grayson used. Convert 4 1/4 to an improper fraction: 4 1/4 = (4*4 + 1)/4 = 17/4. Step 3: Step 3: Multiply the amount Grayson used by Madelyn's multiplier to find out how much lemonade Madelyn used. 1/2 * 17/4 = (1*17)/(2*4) = 17/8.

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Grayson and Madelyn each made a bowl of punch. Madelyn used $4\frac{1}{4}$ times as much lemonade as Grayson did. If Grayson used $\frac{1}{2}$ of a cup of lemonade, how many cups of lemonade did Madelyn use? $\newline$ Write your answer as a fraction or as a whole or mixed number. $\newline$ _____ cups

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Math Problems

Grade 6

Multiply mixed numbers: word problems

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Q. Grayson and Madelyn each made a bowl of punch. Madelyn used

4\frac{1}{4}

times as much lemonade as Grayson did. If Grayson used

\frac{1}{2}

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

\newline

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

\newline

_____ cups

Question Prompt: Question Prompt: How many cups of lemonade did Madelyn use if she used $4 \frac{1}{4}$ times as much as Grayson, who used $\frac{1}{2}$ cup?
Step $1$ : Step $1$ : Identify the amount of lemonade Grayson used. Grayson used $\frac{1}{2}$ cup of lemonade.
Step $2$ : Step $2$ : Calculate the multiplier for the amount of lemonade Madelyn used. Madelyn used $4 \frac{1}{4}$ times the amount of lemonade Grayson used. Convert $4 \frac{1}{4}$ to an improper fraction: $4 \frac{1}{4} = (4\times4 + 1)/4 = \frac{17}{4}$ .
Step $3$ : Step $3$ : Multiply the amount Grayson used by Madelyn's multiplier to find out how much lemonade Madelyn used. $\newline$ $\frac{1}{2} \times \frac{17}{4} = \frac{1\times17}{2\times4} = \frac{17}{8}$ .