Evaluate 20÷(4-(10-8))

$20 \div (4 - (10 - 8))$

Step 1

Rewrite the division as a fraction.

$\frac{20}{4 - (10 - 8)}$

Step 2

Cancel the common factor of $20$ and $4 - (10 - 8)$ .

Rewrite $4$ as $- 1 (- 4)$ .

$\frac{20}{- 1 (- 4) - (10 - 8)}$

Factor $- 1$ out of $- 1 (- 4) - (10 - 8)$ .

$\frac{20}{- 1 (- 4 + 10 - 8)}$

Factor $2$ out of $20$ .

$\frac{2 (10)}{- 1 (- 4 + 10 - 8)}$

Cancel the common factors.

Factor $2$ out of $- 1 (- 4 + 10 - 8)$ .

$\frac{2 (10)}{2 (- 1 (- 2 + 5 - 4))}$

Cancel the common factor.

$\frac{2 \cdot 10}{2 (- 1 (- 2 + 5 - 4))}$

Rewrite the expression.

$\frac{10}{- 1 (- 2 + 5 - 4)}$

$\frac{10}{- 1 (- 2 + 5 - 4)}$

$\frac{10}{- 1 (- 2 + 5 - 4)}$

Step 3

Simplify the denominator.

Add $- 2$ and $5$ .

$\frac{10}{- 1 (3 - 4)}$

Subtract $4$ from $3$ .

$\frac{10}{- 1 \cdot - 1}$

$\frac{10}{- 1 \cdot - 1}$

Step 4

Simplify the expression.

Multiply $- 1$ by $- 1$ .

$\frac{10}{1}$

Divide $10$ by $1$ .

$10$

$10$

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