Evaluate 56-(7+9)+24÷8

$56 - (7 + 9) + 24 \div 8$

Find the common denominator.

Write $56$ as a fraction with denominator $1$ .

$\frac{56}{1} - (7 + 9) + 24 \div 8$

Multiply $\frac{56}{1}$ by $\frac{8}{8}$ .

$\frac{56}{1} \cdot \frac{8}{8} - (7 + 9) + 24 \div 8$

Multiply $\frac{56}{1}$ by $\frac{8}{8}$ .

$\frac{56 \cdot 8}{8} - (7 + 9) + 24 \div 8$

Write $- (7 + 9)$ as a fraction with denominator $1$ .

$\frac{56 \cdot 8}{8} + \frac{- (7 + 9)}{1} + 24 \div 8$

Multiply $\frac{- (7 + 9)}{1}$ by $\frac{8}{8}$ .

$\frac{56 \cdot 8}{8} + \frac{- (7 + 9)}{1} \cdot \frac{8}{8} + 24 \div 8$

Multiply $\frac{- (7 + 9)}{1}$ by $\frac{8}{8}$ .

$\frac{56 \cdot 8}{8} + \frac{- (7 + 9) \cdot 8}{8} + 24 \div 8$

Combine the numerators over the common denominator.

$\frac{56 \cdot 8 - (7 + 9) \cdot 8 + 24}{8}$

Simplify each term.

Multiply $56$ by $8$ .

$\frac{448 - (7 + 9) \cdot 8 + 24}{8}$

Add $7$ and $9$ .

$\frac{448 - 1 \cdot 16 \cdot 8 + 24}{8}$

Multiply $- 1$ by $16$ .

$\frac{448 - 16 \cdot 8 + 24}{8}$

Multiply $- 16$ by $8$ .

$\frac{448 - 128 + 24}{8}$

Simplify the expression.

Subtract $128$ from $448$ .

$\frac{320 + 24}{8}$

Add $320$ and $24$ .

$\frac{344}{8}$

Divide $344$ by $8$ .

$43$