Question

Find the sum or difference.

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

Short answer

$\frac{1}{3}$

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.

$\begin{array}{c}\frac{12}{15}-\frac{7}{15}=\frac{12-7}{15}\left[\text{writedifferenceofnumeratorsoverdenominator}\right]\\ \frac{12}{15}-\frac{7}{15}=\frac{5}{15}\left[\text{subtract}\right]\\ =\frac{1}{3}\end{array}$

Step 3. Conclusion.

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