Evaluate -7/3+(-5/6)

$- \frac{7}{3} + (- \frac{5}{6})$

Step 1

Remove parentheses.

$- \frac{7}{3} - \frac{5}{6}$

Step 2

To write $- \frac{7}{3}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$- \frac{7}{3} \cdot \frac{2}{2} - \frac{5}{6}$

Step 3

Write each expression with a common denominator of $6$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{7}{3}$ by $\frac{2}{2}$ .

$- \frac{7 \cdot 2}{3 \cdot 2} - \frac{5}{6}$

Multiply $3$ by $2$ .

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

Step 4

Combine the numerators over the common denominator.

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

Step 5

Simplify the numerator.

Multiply $- 7$ by $2$ .

$\frac{- 14 - 5}{6}$

Subtract $5$ from $- 14$ .

$\frac{- 19}{6}$

Step 6

Move the negative in front of the fraction.

$- \frac{19}{6}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \frac{19}{6}$

Decimal Form:

$- 3.1\overline{6}$

Mixed Number Form:

$- 3 \frac{1}{6}$