Question

add.

\\-2\frac{3}{5} + 5\frac{1}{2} =\\

Explanation:

Convert mixed numbers to improper fractions

$$ -2\frac{3}{5} = -\frac{2 \times 5 + 3}{5} = -\frac{13}{5} $$

$$ 5\frac{1}{2} = \frac{5 \times 2 + 1}{2} = \frac{11}{2} $$

Find a common denominator and add

$$ -\frac{13}{5} + \frac{11}{2} = -\frac{26}{10} + \frac{55}{10} = \frac{-26 + 55}{10} = \frac{29}{10} $$

Convert back to a mixed number

$$ \frac{29}{10} = 2\frac{9}{10} $$

Answer:

Add.

\(-2\frac{3}{5} + 5\frac{1}{2} =\) <blank>\(2\frac{9}{10}\)</blank>