Basic Math Examples

$\frac{4^{3} - 8 (7 - 8)}{2 (3 - 8) - 48 \div 6}$

Step 1

Cancel the common factor of $48$ and $6$ .

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Step 1.1

Factor $6$ out of $48$ .

$\frac{4^{3} - 8 (7 - 8)}{2 (3 - 8) - 6 \cdot 8 \div 6}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $6$ out of $6$ .

$\frac{4^{3} - 8 (7 - 8)}{2 (3 - 8) - 6 \cdot 8 \div 6 (1)}$

Step 1.2.2

Cancel the common factor.

$\frac{4^{3} - 8 (7 - 8)}{2 (3 - 8) - 6 \cdot 8 \div 6 \cdot 1}$

Step 1.2.3

Rewrite the expression.

$\frac{4^{3} - 8 (7 - 8)}{2 (3 - 8) - \frac{8}{1}}$

Step 1.2.4

Divide $8$ by $1$ .

$\frac{4^{3} - 8 (7 - 8)}{2 (3 - 8) - 1 \cdot 8}$

Step 2

Simplify the numerator.

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Step 2.1

Raise $4$ to the power of $3$ .

$\frac{64 - 8 (7 - 8)}{2 (3 - 8) - 1 \cdot 8}$

Step 2.2

Subtract $8$ from $7$ .

$\frac{64 - 8 \cdot - 1}{2 (3 - 8) - 1 \cdot 8}$

Step 2.3

Multiply $- 8$ by $- 1$ .

$\frac{64 + 8}{2 (3 - 8) - 1 \cdot 8}$

Step 2.4

Add $64$ and $8$ .

$\frac{72}{2 (3 - 8) - 1 \cdot 8}$

Step 3

Simplify the denominator.

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Step 3.1

Subtract $8$ from $3$ .

$\frac{72}{2 \cdot - 5 - 1 \cdot 8}$

Step 3.2

Multiply $2$ by $- 5$ .

$\frac{72}{- 10 - 1 \cdot 8}$

Step 3.3

Multiply $- 1$ by $8$ .

$\frac{72}{- 10 - 8}$

Step 3.4

Subtract $8$ from $- 10$ .

$\frac{72}{- 18}$

Step 4

Divide $72$ by $- 18$ .

$- 4$