Evaluate (4(5-3)-2(4-8))÷16

$(4 (5 - 3) - 2 (4 - 8)) \div 16$

Rewrite the division as a fraction.

$\frac{4 (5 - 3) - 2 (4 - 8)}{16}$

Reduce the expression by cancelling the common factors.

Cancel the common factor of $4 (5 - 3) - 2 (4 - 8)$ and $16$ .

Factor $2$ out of $4 (5 - 3)$ .

$\frac{2 (2 (5 - 3)) - 2 (4 - 8)}{16}$

Factor $2$ out of $- 2 (4 - 8)$ .

$\frac{2 (2 (5 - 3)) + 2 (- (4 - 8))}{16}$

Factor $2$ out of $2 (2 (5 - 3)) + 2 (- (4 - 8))$ .

$\frac{2 (2 (5 - 3) - (4 - 8))}{16}$

Cancel the common factors.

Factor $2$ out of $16$ .

$\frac{2 (2 (5 - 3) - (4 - 8))}{2 (8)}$

Cancel the common factor.

$\frac{2 (2 (5 - 3) - (4 - 8))}{2 \cdot 8}$

Rewrite the expression.

$\frac{2 (5 - 3) - (4 - 8)}{8}$

Cancel the common factor of $2 (5 - 3) - (4 - 8)$ and $8$ .

Factor $- 1$ out of $2 (5 - 3)$ .

$\frac{- (- 2 (5 - 3)) - (4 - 8)}{8}$

Factor $- 1$ out of $- (- 2 (5 - 3)) - (4 - 8)$ .

$\frac{- (- 2 (5 - 3) + 4 - 8)}{8}$

Rewrite $- (- 2 (5 - 3) + 4 - 8)$ as $- 1 (- 2 (5 - 3) + 4 - 8)$ .

$\frac{- 1 (- 2 (5 - 3) + 4 - 8)}{8}$

Factor $2$ out of $- 1 (- 2 (5 - 3) + 4 - 8)$ .

$\frac{2 (- 1 (- (5 - 3) + 2 - 4))}{8}$

Cancel the common factors.

Factor $2$ out of $8$ .

$\frac{2 (- 1 (- (5 - 3) + 2 - 4))}{2 (4)}$

Cancel the common factor.

$\frac{2 (- 1 (- (5 - 3) + 2 - 4))}{2 \cdot 4}$

Rewrite the expression.

$\frac{- 1 (- (5 - 3) + 2 - 4)}{4}$

Simplify the numerator.

Subtract $3$ from $5$ .

$\frac{- 1 (- 1 \cdot 2 + 2 - 4)}{4}$

Multiply $- 1$ by $2$ .

$\frac{- 1 (- 2 + 2 - 4)}{4}$

Add $- 2$ and $2$ .

$\frac{- 1 (0 - 4)}{4}$

Subtract $4$ from $0$ .

$\frac{- 1 \cdot - 4}{4}$

Simplify the expression.

Multiply $- 1$ by $- 4$ .

$\frac{4}{4}$

Divide $4$ by $4$ .

$1$

Evaluate (4(5-3)-2(4-8))÷16

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