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Amanda collected $1\frac{1}{3}$ pounds of newspaper for the recycling drive. Tanvi collected $2\frac{3}{4}$ times as much newspaper as Amanda. How many pounds of newspaper did Tanvi collect? $\newline$ Write your answer as a fraction or as a whole or mixed number. $\newline$ _____ pounds

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Multiply mixed numbers: word problems

Full solution

Q. Amanda collected

1\frac{1}{3}

pounds of newspaper for the recycling drive. Tanvi collected

2\frac{3}{4}

times as much newspaper as Amanda. How many pounds of newspaper did Tanvi collect?

\newline

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

\newline

_____ pounds

Convert to Improper Fraction: Step $1$ : Convert Amanda's newspaper amount to an improper fraction for easier calculation. Amanda collected $1\frac{1}{3}$ pounds, which is equal to $\frac{4}{3}$ pounds.
Calculate Tanvi's Amount: Step $2$ : Calculate how much newspaper Tanvi collected. Tanvi collected $2\frac{3}{4}$ times as much as Amanda. First, convert $2\frac{3}{4}$ to an improper fraction, which is $\frac{11}{4}$ . Then multiply Amanda's amount by Tanvi's multiplier: $(\frac{4}{3}) \times (\frac{11}{4})$ .
Perform Multiplication: Step $3$ : Perform the multiplication to find the total pounds of newspaper Tanvi collected. $(\frac{4}{3}) \times (\frac{11}{4}) = \frac{44}{12}$ , which simplifies to $\frac{11}{3}$ or $3 \frac{2}{3}$ pounds.

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