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Expert-verified Found in: Page 634 ### Pre-algebra

Book edition Common Core Edition
Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff
Pages 183 pages
ISBN 9780547587776 # Find the sum or difference.$\frac{4}{5}-\frac{7}{15}$

$\frac{1}{3}$

See the step by step solution

## 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 $\frac{3}{3}$.

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

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

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

## Step 3. Conclusion.

The difference is$\frac{1}{3}$. ### Want to see more solutions like these? 