Book edition Common Core Edition

Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

Pages 183 pages

ISBN 9780547587776

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Short Answer

Find the sum or difference.

$\frac{4}{5} - \frac{7}{15}$

$\frac{1}{3}$

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Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given Information.

The provided expression is $\frac{4}{5} - \frac{7}{15}$ .

Step 2. Calculation.

Since, the denominators of the first and second fractions of the expression $\frac{4}{5} - \frac{7}{15}$ are not the same, make the denominators common by multiplying the first fraction by $\frac{3}{3}$ .

$\frac{4}{5} (\frac{3}{3}) - \frac{7}{15} = \frac{12}{15} - \frac{7}{15}$

Subtract the numerators of both obtained fractions to calculate the difference and simplify.

$\begin{matrix} \frac{12}{15} - \frac{7}{15} = \frac{12 - 7}{15} [write difference of numerators over denominator] \\ \frac{12}{15} - \frac{7}{15} = \frac{5}{15} [subtract] \\ = \frac{1}{3} \end{matrix}$

Step 3. Conclusion.

The difference is $\frac{1}{3}$ .

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