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Mason operates a hot dog stand. On Wednesday he used $\frac{2}{3}$ of a bag of hot dog buns. On Thursday he used $1\frac{1}{3}$ times as many hot dog buns as on Wednesday. How many bags of hot dog buns did Mason use on Thursday? $\newline$ Write your answer as a fraction or as a whole or mixed number. $\newline$ $\_\_\_$ bags

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Multiply mixed numbers: word problems

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Q. Mason operates a hot dog stand. On Wednesday he used

\frac{2}{3}

of a bag of hot dog buns. On Thursday he used

1\frac{1}{3}

times as many hot dog buns as on Wednesday. How many bags of hot dog buns did Mason use on Thursday?

\newline

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

\newline

\_\_\_

bags

Calculate Buns on Thursday: Calculate the amount of buns used on Thursday in terms of the fraction of a bag. $\newline$ Mason used $\frac{2}{3}$ of a bag on Wednesday. On Thursday, he used $1 \frac{1}{3}$ times as much as Wednesday. $\newline$ Convert $1 \frac{1}{3}$ to an improper fraction: $1 \frac{1}{3} = \frac{4}{3}$ . $\newline$ Now, multiply the fractions: $(\frac{2}{3}) \times (\frac{4}{3}) = \frac{8}{9}$ .
Convert to Improper Fraction: Determine the total bags used on Thursday. $\newline$ Since $\frac{8}{9}$ represents the fraction of one bag used on Thursday, Mason used $\frac{8}{9}$ bags of hot dog buns on Thursday.

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