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Simplify (80÷4*(2-4))÷40

$80 \div 4 \cdot (2 - 4) \div 40$

Step 1

Rewrite the division as a fraction.

$\frac{80 \div 4 \cdot (2 - 4)}{40}$

Step 2

Cancel the common factor of

$80$ and

$4$ .

Factor

$4$ out of

$80$ .

$\frac{4 \cdot 20 \div 4 \cdot (2 - 4)}{40}$

Cancel the common factors.

Factor

$4$ out of

$4$ .

$\frac{4 \cdot 20 \div 4 (1) \cdot (2 - 4)}{40}$

Cancel the common factor.

$\frac{4 \cdot 20 \div 4 \cdot 1 \cdot (2 - 4)}{40}$

Rewrite the expression.

$\frac{\frac{20}{1} \cdot (2 - 4)}{40}$

Divide

$20$ by

$1$ .

$\frac{20 \cdot (2 - 4)}{40}$

$\frac{20 \cdot (2 - 4)}{40}$

$\frac{20 \cdot (2 - 4)}{40}$

Step 3

Cancel the common factor of

$20$ and

$40$ .

Factor

$20$ out of

$20 \cdot (2 - 4)$ .

$\frac{20 (2 - 4)}{40}$

Cancel the common factors.

Factor

$20$ out of

$40$ .

$\frac{20 (2 - 4)}{20 \cdot 2}$

Cancel the common factor.

$\frac{20 (2 - 4)}{20 \cdot 2}$

Rewrite the expression.

$\frac{2 - 4}{2}$

$\frac{2 - 4}{2}$

$\frac{2 - 4}{2}$

Step 4

Cancel the common factor of

$2 - 4$ and

$2$ .

Factor

$2$ out of

$2$ .

$\frac{2 \cdot 1 - 4}{2}$

Factor

$2$ out of

$- 4$ .

$\frac{2 \cdot 1 + 2 \cdot - 2}{2}$

Factor

$2$ out of

$2 \cdot 1 + 2 \cdot - 2$ .

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

Cancel the common factors.

Factor

$2$ out of

$2$ .

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

Cancel the common factor.

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

Rewrite the expression.

$\frac{1 - 2}{1}$

Divide

$1 - 2$ by

$1$ .

$1 - 2$

$1 - 2$

$1 - 2$

Step 5

Subtract

$2$ from

$1$ .

$- 1$

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