Simplify -5/8+(-8/5)

$- \frac{5}{8} + (- \frac{8}{5})$

Remove parentheses.

$- \frac{5}{8} - \frac{8}{5}$

To write $- \frac{5}{8}$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$- \frac{5}{8} \cdot \frac{5}{5} - \frac{8}{5}$

To write $- \frac{8}{5}$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$- \frac{5}{8} \cdot \frac{5}{5} - \frac{8}{5} \cdot \frac{8}{8}$

Write each expression with a common denominator of $40$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{5}{8}$ by $\frac{5}{5}$ .

$- \frac{5 \cdot 5}{8 \cdot 5} - \frac{8}{5} \cdot \frac{8}{8}$

Multiply $8$ by $5$ .

$- \frac{5 \cdot 5}{40} - \frac{8}{5} \cdot \frac{8}{8}$

Multiply $\frac{8}{5}$ by $\frac{8}{8}$ .

$- \frac{5 \cdot 5}{40} - \frac{8 \cdot 8}{5 \cdot 8}$

Multiply $5$ by $8$ .

$- \frac{5 \cdot 5}{40} - \frac{8 \cdot 8}{40}$

Combine the numerators over the common denominator.

$\frac{- 5 \cdot 5 - 8 \cdot 8}{40}$

Simplify the numerator.

Multiply $- 5$ by $5$ .

$\frac{- 25 - 8 \cdot 8}{40}$

Multiply $- 8$ by $8$ .

$\frac{- 25 - 64}{40}$

Subtract $64$ from $- 25$ .

$\frac{- 89}{40}$

Move the negative in front of the fraction.

$- \frac{89}{40}$

The result can be shown in multiple forms.

Exact Form:

$- \frac{89}{40}$

Decimal Form:

$- 2.225$

Mixed Number Form:

$- 2 \frac{9}{40}$