Simplify -5/12-(-9/3)

$- \frac{5}{12} - (- \frac{9}{3})$

Step 1

Simplify each term.

Divide $9$ by $3$ .

$- \frac{5}{12} - (- 1 \cdot 3)$

Multiply $- (- 1 \cdot 3)$ .

Multiply $- 1$ by $3$ .

$- \frac{5}{12} - - 3$

Multiply $- 1$ by $- 3$ .

$- \frac{5}{12} + 3$

Step 2

To write $3$ as a fraction with a common denominator, multiply by $\frac{12}{12}$ .

$- \frac{5}{12} + 3 \cdot \frac{12}{12}$

Step 3

Combine $3$ and $\frac{12}{12}$ .

$- \frac{5}{12} + \frac{3 \cdot 12}{12}$

Step 4

Combine the numerators over the common denominator.

$\frac{- 5 + 3 \cdot 12}{12}$

Step 5

Simplify the numerator.

Multiply $3$ by $12$ .

$\frac{- 5 + 36}{12}$

Add $- 5$ and $36$ .

$\frac{31}{12}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{31}{12}$

Decimal Form:

$2.58\overline{3}$

Mixed Number Form:

$2 \frac{7}{12}$