Algebra Examples

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

Step 1

Simplify each term.

Tap for more steps...

Step 1.1

Divide $9$ by $3$ .

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

Step 1.2

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

Tap for more steps...

Step 1.2.1

Multiply $- 1$ by $3$ .

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

Step 1.2.2

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.

Tap for more steps...

Step 5.1

Multiply $3$ by $12$ .

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

Step 5.2

Add $- 5$ and $36$ .

$\frac{31}{12}$