Simplify -9/12-(-7/4)

$- \frac{9}{12} - (- \frac{7}{4})$

Simplify each term.

Cancel the common factor of $9$ and $12$ .

Factor $3$ out of $9$ .

$- \frac{3 (3)}{12} - (- \frac{7}{4})$

Cancel the common factors.

Factor $3$ out of $12$ .

$- \frac{3 \cdot 3}{3 \cdot 4} - (- \frac{7}{4})$

Cancel the common factor.

$- \frac{3 \cdot 3}{3 \cdot 4} - (- \frac{7}{4})$

Rewrite the expression.

$- \frac{3}{4} - (- \frac{7}{4})$

Multiply $- (- \frac{7}{4})$ .

Multiply $- 1$ by $- 1$ .

$- \frac{3}{4} + 1 (\frac{7}{4})$

Multiply $\frac{7}{4}$ by $1$ .

$- \frac{3}{4} + \frac{7}{4}$

Combine fractions.

Combine the numerators over the common denominator.

$\frac{- 3 + 7}{4}$

Simplify the expression.

Add $- 3$ and $7$ .

$\frac{4}{4}$

Divide $4$ by $4$ .

$1$