Finite Math Examples

$\frac{8^{2} - 4 \cdot - 2 \cdot - 4}{8 - \frac{8^{2}}{4}}$

Step 1

Multiply the numerator and denominator of the fraction by $4$ .

Tap for more steps...

Step 1.1

Multiply $\frac{8^{2} - 4 \cdot - 2 \cdot - 4}{8 - \frac{8^{2}}{4}}$ by $\frac{4}{4}$ .

$\frac{4}{4} \cdot \frac{8^{2} - 4 \cdot - 2 \cdot - 4}{8 - \frac{8^{2}}{4}}$

Step 1.2

Combine.

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

Step 2

Apply the distributive property.

$\frac{4 \cdot 8^{2} + 4 (- 4 \cdot - 2 \cdot - 4)}{4 \cdot 8 + 4 (- \frac{8^{2}}{4})}$

Step 3

Cancel the common factor of $4$ .

Tap for more steps...

Step 3.1

Move the leading negative in $- \frac{8^{2}}{4}$ into the numerator.

$\frac{4 \cdot 8^{2} + 4 (- 4 \cdot - 2 \cdot - 4)}{4 \cdot 8 + 4 \frac{- 8^{2}}{4}}$

Step 3.2

Cancel the common factor.

$\frac{4 \cdot 8^{2} + 4 (- 4 \cdot - 2 \cdot - 4)}{4 \cdot 8 + 4 \frac{- 8^{2}}{4}}$

Step 3.3

Rewrite the expression.

$\frac{4 \cdot 8^{2} + 4 (- 4 \cdot - 2 \cdot - 4)}{4 \cdot 8 - 8^{2}}$

Step 4

Simplify the numerator.

Tap for more steps...

Step 4.1

Raise $8$ to the power of $2$ .

$\frac{4 \cdot 64 + 4 (- 4 \cdot - 2 \cdot - 4)}{4 \cdot 8 - 8^{2}}$

Step 4.2

Multiply $4$ by $64$ .

$\frac{256 + 4 (- 4 \cdot - 2 \cdot - 4)}{4 \cdot 8 - 8^{2}}$

Step 4.3

Multiply $4 (- 4 \cdot - 2 \cdot - 4)$ .

Tap for more steps...

Step 4.3.1

Multiply $- 4$ by $- 2$ .

$\frac{256 + 4 (8 \cdot - 4)}{4 \cdot 8 - 8^{2}}$

Step 4.3.2

Multiply $8$ by $- 4$ .

$\frac{256 + 4 \cdot - 32}{4 \cdot 8 - 8^{2}}$

Step 4.3.3

Multiply $4$ by $- 32$ .

$\frac{256 - 128}{4 \cdot 8 - 8^{2}}$

Step 4.4

Subtract $128$ from $256$ .

$\frac{128}{4 \cdot 8 - 8^{2}}$

Step 5

Simplify the denominator.

Tap for more steps...

Step 5.1

Multiply $4$ by $8$ .

$\frac{128}{32 - 8^{2}}$

Step 5.2

Raise $8$ to the power of $2$ .

$\frac{128}{32 - 1 \cdot 64}$

Step 5.3

Multiply $- 1$ by $64$ .

$\frac{128}{32 - 64}$

Step 5.4

Subtract $64$ from $32$ .

$\frac{128}{- 32}$

Step 6

Divide $128$ by $- 32$ .

$- 4$