Algebra Examples

$20 - (4 \cdot 2) \div (5 - 3) - 2$

Step 1

Find the common denominator.

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Step 1.1

Write $20$ as a fraction with denominator $1$ .

$\frac{20}{1} - 4 \cdot 2 \div (5 - 3) - 2$

Step 1.2

Multiply $\frac{20}{1}$ by $\frac{5 - 3}{5 - 3}$ .

$\frac{20}{1} \cdot \frac{5 - 3}{5 - 3} - 4 \cdot 2 \div (5 - 3) - 2$

Step 1.3

Multiply $\frac{20}{1}$ by $\frac{5 - 3}{5 - 3}$ .

$\frac{20 (5 - 3)}{5 - 3} - 4 \cdot 2 \div (5 - 3) - 2$

Step 1.4

Write $- 2$ as a fraction with denominator $1$ .

$\frac{20 (5 - 3)}{5 - 3} - 4 \cdot 2 \div (5 - 3) + \frac{- 2}{1}$

Step 1.5

Multiply $\frac{- 2}{1}$ by $\frac{5 - 3}{5 - 3}$ .

$\frac{20 (5 - 3)}{5 - 3} - 4 \cdot 2 \div (5 - 3) + \frac{- 2}{1} \cdot \frac{5 - 3}{5 - 3}$

Step 1.6

Multiply $\frac{- 2}{1}$ by $\frac{5 - 3}{5 - 3}$ .

$\frac{20 (5 - 3)}{5 - 3} - 4 \cdot 2 \div (5 - 3) + \frac{- 2 (5 - 3)}{5 - 3}$

Step 2

Combine the numerators over the common denominator.

$\frac{20 (5 - 3) - 4 \cdot 2 - 2 (5 - 3)}{5 - 3}$

Step 3

Simplify each term.

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Step 3.1

Subtract $3$ from $5$ .

$\frac{20 \cdot 2 - 4 \cdot 2 - 2 (5 - 3)}{5 - 3}$

Step 3.2

Multiply $20$ by $2$ .

$\frac{40 - 4 \cdot 2 - 2 (5 - 3)}{5 - 3}$

Step 3.3

Multiply $- 4$ by $2$ .

$\frac{40 - 8 - 2 (5 - 3)}{5 - 3}$

Step 3.4

Subtract $3$ from $5$ .

$\frac{40 - 8 - 2 \cdot 2}{5 - 3}$

Step 3.5

Multiply $- 2$ by $2$ .

$\frac{40 - 8 - 4}{5 - 3}$

Step 4

Simplify the expression.

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Step 4.1

Subtract $8$ from $40$ .

$\frac{32 - 4}{5 - 3}$

Step 4.2

Subtract $4$ from $32$ .

$\frac{28}{5 - 3}$

Step 4.3

Subtract $3$ from $5$ .

$\frac{28}{2}$

Step 4.4

Divide $28$ by $2$ .

$14$