Finite Math Examples

$\frac{\frac{3}{7} - 0}{0 - 2}$

Step 1

Multiply the numerator and denominator of the fraction by $7$ .

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Step 1.1

Multiply $\frac{\frac{3}{7} - 0}{0 - 2}$ by $\frac{7}{7}$ .

$\frac{7}{7} \cdot \frac{\frac{3}{7} - 0}{0 - 2}$

Step 1.2

Combine.

$\frac{7 (\frac{3}{7} - 0)}{7 (0 - 2)}$

Step 2

Apply the distributive property.

$\frac{7 (\frac{3}{7}) + 7 (- 0)}{7 \cdot 0 + 7 \cdot - 2}$

Step 3

Cancel the common factor of $7$ .

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Step 3.1

Cancel the common factor.

$\frac{7 (\frac{3}{7}) + 7 (- 0)}{7 \cdot 0 + 7 \cdot - 2}$

Step 3.2

Rewrite the expression.

$\frac{3 + 7 (- 0)}{7 \cdot 0 + 7 \cdot - 2}$

Step 4

Simplify the numerator.

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Step 4.1

Multiply $7 (- 0)$ .

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Step 4.1.1

Multiply $- 1$ by $0$ .

$\frac{3 + 7 \cdot 0}{7 \cdot 0 + 7 \cdot - 2}$

Step 4.1.2

Multiply $7$ by $0$ .

$\frac{3 + 0}{7 \cdot 0 + 7 \cdot - 2}$

Step 4.2

Add $3$ and $0$ .

$\frac{3}{7 \cdot 0 + 7 \cdot - 2}$

Step 5

Simplify the denominator.

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Step 5.1

Multiply $7$ by $0$ .

$\frac{3}{0 + 7 \cdot - 2}$

Step 5.2

Multiply $7$ by $- 2$ .

$\frac{3}{0 - 14}$

Step 5.3

Subtract $14$ from $0$ .

$\frac{3}{- 14}$

Step 6

Move the negative in front of the fraction.

$- \frac{3}{14}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \frac{3}{14}$

Decimal Form:

$- 0.2\overline{142857}$