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Perry Repertory Theater Company sold out $\frac{1}{10}$ of the performances it held. Hancock Shakespeare Company sold out $\frac{5}{7}$ of the performances it put on. Which theater company sold out a greater fraction of its performances? $\newline$ A)Perry Repertory Theater Company $\newline$ B)Hancock Shakespeare Company

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Multiply fractions: word problems

Full solution

Q. Perry Repertory Theater Company sold out

\frac{1}{10}

of the performances it held. Hancock Shakespeare Company sold out

\frac{5}{7}

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

\newline

A)Perry Repertory Theater Company

\newline

B)Hancock Shakespeare Company

Identify Fractions: Identify the fractions representing the sold-out performances for each theater company. $\newline$ Perry Repertory Theater Company sold out $(1)/(10)$ of its performances. $\newline$ Hancock Shakespeare Company sold out $(5)/(7)$ of its performances.
Compare Fractions: Compare the two fractions to determine which is greater. $(\frac{1}{10})$ is less than $(\frac{5}{7})$ because $\frac{1}{10}$ equals $0.1$ and $\frac{5}{7}$ is approximately $0.714$ .
Conclude Results: Conclude which theater company sold out a greater fraction of its performances. Since $(5)/(7)$ is greater than $(1)/(10)$ , Hancock Shakespeare Company sold out a greater fraction of its performances.

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