Evaluate -2/3+(-1/8)

$- \frac{2}{3} + (- \frac{1}{8})$

Step 1

Remove parentheses.

$- \frac{2}{3} - \frac{1}{8}$

Step 2

To write $- \frac{2}{3}$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$- \frac{2}{3} \cdot \frac{8}{8} - \frac{1}{8}$

Step 3

To write $- \frac{1}{8}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$- \frac{2}{3} \cdot \frac{8}{8} - \frac{1}{8} \cdot \frac{3}{3}$

Step 4

Write each expression with a common denominator of $24$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{2}{3}$ by $\frac{8}{8}$ .

$- \frac{2 \cdot 8}{3 \cdot 8} - \frac{1}{8} \cdot \frac{3}{3}$

Multiply $3$ by $8$ .

$- \frac{2 \cdot 8}{24} - \frac{1}{8} \cdot \frac{3}{3}$

Multiply $\frac{1}{8}$ by $\frac{3}{3}$ .

$- \frac{2 \cdot 8}{24} - \frac{3}{8 \cdot 3}$

Multiply $8$ by $3$ .

$- \frac{2 \cdot 8}{24} - \frac{3}{24}$

Step 5

Combine the numerators over the common denominator.

$\frac{- 2 \cdot 8 - 3}{24}$

Step 6

Simplify the numerator.

Multiply $- 2$ by $8$ .

$\frac{- 16 - 3}{24}$

Subtract $3$ from $- 16$ .

$\frac{- 19}{24}$

Step 7

Move the negative in front of the fraction.

$- \frac{19}{24}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$- \frac{19}{24}$

Decimal Form:

$- 0.791\overline{6}$