Basic Math Examples

$\frac{2^{2} - 3 | 2 - 4 |}{2 (7 - 4) - 45 \div 5}$

Step 1

Cancel the common factor of $45$ and $5$ .

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Step 1.1

Factor $5$ out of $45$ .

$\frac{2^{2} - 3 | 2 - 4 |}{2 (7 - 4) - 5 \cdot 9 \div 5}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $5$ out of $5$ .

$\frac{2^{2} - 3 | 2 - 4 |}{2 (7 - 4) - 5 \cdot 9 \div 5 (1)}$

Step 1.2.2

Cancel the common factor.

$\frac{2^{2} - 3 | 2 - 4 |}{2 (7 - 4) - 5 \cdot 9 \div 5 \cdot 1}$

Step 1.2.3

Rewrite the expression.

$\frac{2^{2} - 3 | 2 - 4 |}{2 (7 - 4) - \frac{9}{1}}$

Step 1.2.4

Divide $9$ by $1$ .

$\frac{2^{2} - 3 | 2 - 4 |}{2 (7 - 4) - 1 \cdot 9}$

Step 2

Simplify the numerator.

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Step 2.1

Raise $2$ to the power of $2$ .

$\frac{4 - 3 | 2 - 4 |}{2 (7 - 4) - 1 \cdot 9}$

Step 2.2

Subtract $4$ from $2$ .

$\frac{4 - 3 | - 2 |}{2 (7 - 4) - 1 \cdot 9}$

Step 2.3

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

$\frac{4 - 3 \cdot 2}{2 (7 - 4) - 1 \cdot 9}$

Step 2.4

Multiply $- 3$ by $2$ .

$\frac{4 - 6}{2 (7 - 4) - 1 \cdot 9}$

Step 2.5

Subtract $6$ from $4$ .

$\frac{- 2}{2 (7 - 4) - 1 \cdot 9}$

Step 3

Simplify the denominator.

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Step 3.1

Subtract $4$ from $7$ .

$\frac{- 2}{2 \cdot 3 - 1 \cdot 9}$

Step 3.2

Multiply $2$ by $3$ .

$\frac{- 2}{6 - 1 \cdot 9}$

Step 3.3

Multiply $- 1$ by $9$ .

$\frac{- 2}{6 - 9}$

Step 3.4

Subtract $9$ from $6$ .

$\frac{- 2}{- 3}$

Step 4

Dividing two negative values results in a positive value.

$\frac{2}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{2}{3}$

Decimal Form:

$0.\overline{6}$