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Recently, $\frac{1}{3}$ of the items sold at Dustin's Sporting Goods were baseball caps. At Gabriel's Sports, $\frac{7}{8}$ of the items sold were baseball caps. Which store sold a greater fraction of baseball caps? $\newline$ Choices: $\newline$ (A)Dustin's Sporting Goods $\newline$ (B)Gabriel's Sports

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Multiply fractions: word problems

Full solution

Q. Recently,

\frac{1}{3}

of the items sold at Dustin's Sporting Goods were baseball caps. At Gabriel's Sports,

\frac{7}{8}

of the items sold were baseball caps. Which store sold a greater fraction of baseball caps?

\newline

Choices:

\newline

(A)Dustin's Sporting Goods

\newline

(B)Gabriel's Sports

Compare fractions sold: Compare the fractions of baseball caps sold at each store. Dustin's Sporting Goods sold $\frac{1}{3}$ of its items as baseball caps, and Gabriel's Sports sold $\frac{7}{8}$ of its items as baseball caps.
Determine larger fraction: Determine which fraction is larger. Since $\frac{1}{3}$ is approximately $0.333$ and $\frac{7}{8}$ is approximately $0.875$ , $\frac{7}{8}$ is greater than $\frac{1}{3}$ .

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