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Randolph Repertory Theater Company sold out $\frac{2}{9}$ of the performances it held. Sullivan Shakespeare Company sold out $\frac{7}{8}$ of the performances it put on. Which theater company sold out a greater fraction of its performances? $\newline$ Choices: $\newline$ (A) Randolph Repertory Theater Company $\newline$ (B) Sullivan Shakespeare Company

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Multiply fractions: word problems

Full solution

Q. Randolph Repertory Theater Company sold out

\frac{2}{9}

of the performances it held. Sullivan Shakespeare Company sold out

\frac{7}{8}

of the performances it put on. Which theater company sold out a greater fraction of its performances?

\newline

Choices:

\newline

(A) Randolph Repertory Theater Company

\newline

(B) Sullivan Shakespeare Company

Compare Fractions: Compare the fractions directly to see which is larger.
Convert to Common Denominator: Convert fractions to a common denominator to compare easily. Common denominator of $9$ and $8$ is $72$ .
Compare New Fractions: Compare the new fractions.
Final Comparison: Clearly, $63/72$ is greater than $16/72$ , so Sullivan Shakespeare Company sold out a greater fraction of its performances.

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