Basic Math Examples

$\frac{\frac{1}{3} - 0}{0 - 3}$

Step 1

Multiply the numerator and denominator of the fraction by $3$ .

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Step 1.1

Multiply $\frac{\frac{1}{3} - 0}{0 - 3}$ by $\frac{3}{3}$ .

$\frac{3}{3} \cdot \frac{\frac{1}{3} - 0}{0 - 3}$

Step 1.2

Combine.

$\frac{3 (\frac{1}{3} - 0)}{3 (0 - 3)}$

Step 2

Apply the distributive property.

$\frac{3 (\frac{1}{3}) + 3 (- 0)}{3 \cdot 0 + 3 \cdot - 3}$

Step 3

Cancel the common factor of $3$ .

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Step 3.1

Cancel the common factor.

$\frac{3 (\frac{1}{3}) + 3 (- 0)}{3 \cdot 0 + 3 \cdot - 3}$

Step 3.2

Rewrite the expression.

$\frac{1 + 3 (- 0)}{3 \cdot 0 + 3 \cdot - 3}$

Step 4

Simplify the numerator.

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Step 4.1

Multiply $3 (- 0)$ .

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Step 4.1.1

Multiply $- 1$ by $0$ .

$\frac{1 + 3 \cdot 0}{3 \cdot 0 + 3 \cdot - 3}$

Step 4.1.2

Multiply $3$ by $0$ .

$\frac{1 + 0}{3 \cdot 0 + 3 \cdot - 3}$

Step 4.2

Add $1$ and $0$ .

$\frac{1}{3 \cdot 0 + 3 \cdot - 3}$

Step 5

Simplify the denominator.

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Step 5.1

Multiply $3$ by $0$ .

$\frac{1}{0 + 3 \cdot - 3}$

Step 5.2

Multiply $3$ by $- 3$ .

$\frac{1}{0 - 9}$

Step 5.3

Subtract $9$ from $0$ .

$\frac{1}{- 9}$

Step 6

Move the negative in front of the fraction.

$- \frac{1}{9}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \frac{1}{9}$

Decimal Form:

$- 0.\overline{1}$