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Last week, Polly's Swimwear sold $\frac{4}{7}$ of its bathing suits in stock. Edmond's Sun Wear sold $\frac{4}{9}$ of its bathing suits in stock. Which store sold a greater fraction of the bathing suits in stock? $\newline$ Choices: $\newline$ (A) Polly's Swimwear $\newline$ (B) Edmond's Sun Wear

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Multiply fractions: word problems

Full solution

Q. Last week, Polly's Swimwear sold

\frac{4}{7}

of its bathing suits in stock. Edmond's Sun Wear sold

\frac{4}{9}

of its bathing suits in stock. Which store sold a greater fraction of the bathing suits in stock?

\newline

Choices:

\newline

(A) Polly's Swimwear

\newline

(B) Edmond's Sun Wear

Identify Fractions: Step $1$ : Identify the fractions sold by each store. $\newline$ Polly's Swimwear sold $\frac{4}{7}$ of its stock. $\newline$ Edmond's Sun Wear sold $\frac{4}{9}$ of its stock. $\newline$ We need to compare these fractions to see which is larger.
Compare Fractions: Step $2$ : Compare the fractions by finding a common denominator. Common denominator for $7$ and $9$ is $63$ . Convert $\frac{4}{7}$ to a fraction with denominator $63$ : $\left(\frac{4}{7}\right) * \left(\frac{9}{9}\right) = \frac{36}{63}$ . Convert $\frac{4}{9}$ to a fraction with denominator $63$ : $\left(\frac{4}{9}\right) * \left(\frac{7}{7}\right) = \frac{28}{63}$ .
Final Comparison: Step $3$ : Compare the new fractions. $\newline$ $\frac{36}{63}$ is greater than $\frac{28}{63}$ . $\newline$ Therefore, Polly's Swimwear sold a greater fraction of its bathing suits.

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