Question

Find the sum of $\frac{2}{3}$ and $\frac{-3}{5}$.

• A. $\frac{1}{5}$
• B. $\frac{1}{15}$
• C. $\frac{19}{15}$
• D. $\frac{-1}{15}$

Answer 1

The correct option is B

$\frac{1}{15}$

Since the denominators of the given fractions are unequal, we first need to find the LCM of 3 and 5.

LCM of 3 and 5 is 15.

Now we have to make the denominator of both the numbers common in order to add them.

$\therefore \frac{2}{3}+\frac{-3}{5}=\frac{2\times 5}{3\times 5}+\frac{-3\times 3}{5\times 3}=\frac{10}{15}+\frac{-9}{15}=\frac{10-9}{15}=\frac{1}{15}$