Basic Math Examples

$4 - 6 | 3 - 5 | \div 3$

Step 1

Simplify each term.

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Step 1.1

Rewrite the division as a fraction.

$4 - \frac{6 | 3 - 5 |}{3}$

Step 1.2

Cancel the common factor of $6$ and $3$ .

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Step 1.2.1

Factor $3$ out of $6 | 3 - 5 |$ .

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

Step 1.2.2

Cancel the common factors.

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Step 1.2.2.1

Factor $3$ out of $3$ .

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

Step 1.2.2.2

Cancel the common factor.

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

Step 1.2.2.3

Rewrite the expression.

$4 - \frac{2 | 3 - 5 |}{1}$

Step 1.2.2.4

Divide $2 | 3 - 5 |$ by $1$ .

$4 - (2 | 3 - 5 |)$

Step 1.3

Subtract $5$ from $3$ .

$4 - (2 | - 2 |)$

Step 1.4

The absolute value is the distance between a number and zero. The distance between $- 2$ and $0$ is $2$ .

$4 - (2 \cdot 2)$

Step 1.5

Multiply $- (2 \cdot 2)$ .

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Step 1.5.1

Multiply $2$ by $2$ .

$4 - 1 \cdot 4$

Step 1.5.2

Multiply $- 1$ by $4$ .

$4 - 4$

Step 2

Subtract $4$ from $4$ .

$0$