Basic Math Examples

$(4 - 6^{2}) \div 4 - \frac{2 (7 - 9)}{4} - 4 \cdot 3 \div 2^{2}$

Step 1

Combine the numerators over the common denominator.

$\frac{4 - 6^{2} - 2 (7 - 9)}{4} + \frac{- 4 \cdot 3}{2^{2}}$

Step 2

Simplify each term.

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Step 2.1

Raise $6$ to the power of $2$ .

$\frac{4 - 1 \cdot 36 - 2 (7 - 9)}{4} + \frac{- 4 \cdot 3}{2^{2}}$

Step 2.2

Multiply $- 1$ by $36$ .

$\frac{4 - 36 - 2 (7 - 9)}{4} + \frac{- 4 \cdot 3}{2^{2}}$

Step 2.3

Subtract $9$ from $7$ .

$\frac{4 - 36 - 2 \cdot - 2}{4} + \frac{- 4 \cdot 3}{2^{2}}$

Step 2.4

Multiply $- 2$ by $- 2$ .

$\frac{4 - 36 + 4}{4} + \frac{- 4 \cdot 3}{2^{2}}$

Step 3

Simplify the expression.

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Step 3.1

Subtract $36$ from $4$ .

$\frac{- 32 + 4}{4} + \frac{- 4 \cdot 3}{2^{2}}$

Step 3.2

Add $- 32$ and $4$ .

$\frac{- 28}{4} + \frac{- 4 \cdot 3}{2^{2}}$

Step 3.3

Multiply $- 4$ by $3$ .

$\frac{- 28}{4} + \frac{- 12}{2^{2}}$

Step 4

Simplify each term.

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Step 4.1

Divide $- 28$ by $4$ .

$- 7 + \frac{- 12}{2^{2}}$

Step 4.2

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

$- 7 + \frac{- 12}{4}$

Step 4.3

Divide $- 12$ by $4$ .

$- 7 - 3$

Step 5

Subtract $3$ from $- 7$ .

$- 10$