Question

signed fraction addition or subtraction: try again your answer is incorrect. add. $-\frac{1}{2} + \frac{3}{5}$ write your answer in simplest form.

Explanation:

Step1: Find a common denominator

The denominators are 2 and 5. The least common denominator (LCD) of 2 and 5 is $2\times5 = 10$.

Step2: Rewrite the fractions with the LCD

Rewrite $-\frac{1}{2}$ as $-\frac{1\times5}{2\times5}=-\frac{5}{10}$ and $\frac{3}{5}$ as $\frac{3\times2}{5\times2}=\frac{6}{10}$.

Step3: Add the fractions

Now add the two fractions: $-\frac{5}{10}+\frac{6}{10}=\frac{-5 + 6}{10}=\frac{1}{10}$.

Answer:

$\frac{1}{10}$