Question

add.

\\\frac{2}{-5} + \frac{7}{6}\\

write your answer as a fraction in simplest form.

Explanation:

Rewrite the negative fraction

$$ \frac{2}{-5} = -\frac{2}{5} $$

Find a common denominator

$$ \text{LCM}(5, 6) = 30 $$

$$ -\frac{2}{5} = -\frac{2 \times 6}{5 \times 6} = -\frac{12}{30} $$

$$ \frac{7}{6} = \frac{7 \times 5}{6 \times 5} = \frac{35}{30} $$

Add the fractions

$$ -\frac{12}{30} + \frac{35}{30} = \frac{-12 + 35}{30} = \frac{23}{30} $$

Answer:

Add.

$$ \frac{2}{-5} + \frac{7}{6} $$

Write your answer as a fraction in simplest form.
<blank>\(\frac{23}{30}\)</blank>