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On Sunday, $\frac{3}{5}$ of the dogs seen in the park were on leashes. On Wednesday, $\frac{1}{6}$ of the dogs in the same park were on leashes. Which day had a greater fraction of dogs on leashes? $\newline$ Choices: $\newline$ (A)Sunday $\newline$ (B)Wednesday

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Multiply fractions: word problems

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Q. On Sunday,

\frac{3}{5}

of the dogs seen in the park were on leashes. On Wednesday,

\frac{1}{6}

of the dogs in the same park were on leashes. Which day had a greater fraction of dogs on leashes?

\newline

Choices:

\newline

(A)Sunday

\newline

(B)Wednesday

Compare fractions: Step $1$ : Compare the fractions of dogs on leashes on Sunday and Wednesday. $\newline$ Sunday: $\frac{3}{5}$ of dogs were on leashes. $\newline$ Wednesday: $\frac{1}{6}$ of dogs were on leashes. $\newline$ To compare, we need a common denominator.
Find LCD: Step $2$ : Find the least common denominator (LCD) for $5$ and $6$ . The LCD of $5$ and $6$ is $30$ .
Convert fractions: Step $3$ : Convert both fractions to have the denominator of $30$ . $\newline$ Sunday: $\frac{3}{5} = \frac{3 \times 6}{5 \times 6} = \frac{18}{30}$ $\newline$ Wednesday: $\frac{1}{6} = \frac{1 \times 5}{6 \times 5} = \frac{5}{30}$
Compare new fractions: Step $4$ : Compare the new fractions. $\newline$ $\frac{18}{30}$ (Sunday) is greater than $\frac{5}{30}$ (Wednesday). $\newline$ So, more dogs were on leashes on Sunday compared to Wednesday.

More problems from Multiply fractions: word problems

Question

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of the dogs seen in the park were on leashes. On Wednesday,

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of the dogs in the same park were on leashes. Which day had a greater fraction of dogs on leashes?

\newline

\newline

\newline

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Perry Repertory Theater Company sold out

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B)Hancock Shakespeare Company

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\newline

A)Logan County Airport

\newline

B)Cass County Airport

\newline

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\newline

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\newline

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