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Pam picked $4\frac{1}{3}$ pounds of strawberries. That afternoon, Pam's sister ate $\frac{4}{5}$ of the strawberries. How many pounds of strawberries did Pam's sister eat? $\newline$ 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. Pam picked

4\frac{1}{3}

pounds of strawberries. That afternoon, Pam's sister ate

\frac{4}{5}

of the strawberries. How many pounds of strawberries did Pam's sister eat?

\newline

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

\newline

_____ pounds

Convert to Improper Fraction: Convert the mixed number to an improper fraction for easier calculation. Pam picked $4\frac{1}{3}$ pounds of strawberries, which is equivalent to $(4 \times 3 + 1)/3 = \frac{13}{3}$ pounds.
Calculate Sister's Share: Calculate the amount Pam's sister ate by multiplying the total amount by $\frac{4}{5}$ . So, $\left(\frac{13}{3}\right) \times \left(\frac{4}{5}\right) = \frac{52}{15}$ pounds.
Convert to Mixed Number: Convert the improper fraction to a mixed number to make it easier to understand. $\frac{52}{15}$ is $3 \frac{7}{15}$ pounds.

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