Basic Math Examples

$g (- 3) = \frac{1}{3} - \frac{4}{3} \cdot 3$

Step 1

Simplify.

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Step 1.1

Cancel the common factor of $3$ .

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Step 1.1.1

Move the leading negative in $- \frac{4}{3}$ into the numerator.

$g (- 3) = \frac{1}{3} + \frac{- 4}{3} \cdot 3$

Step 1.1.2

Cancel the common factor.

$g (- 3) = \frac{1}{3} + \frac{- 4}{3} \cdot 3$

Step 1.1.3

Rewrite the expression.

$g (- 3) = \frac{1}{3} - 4$

Step 1.2

To write $- 4$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$g (- 3) = \frac{1}{3} - 4 \cdot \frac{3}{3}$

Step 1.3

Combine $- 4$ and $\frac{3}{3}$ .

$g (- 3) = \frac{1}{3} + \frac{- 4 \cdot 3}{3}$

Step 1.4

Combine the numerators over the common denominator.

$g (- 3) = \frac{1 - 4 \cdot 3}{3}$

Step 1.5

Simplify the numerator.

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Step 1.5.1

Multiply $- 4$ by $3$ .

$g (- 3) = \frac{1 - 12}{3}$

Step 1.5.2

Subtract $12$ from $1$ .

$g (- 3) = \frac{- 11}{3}$

Step 2

Divide each term in $g (- 3) = \frac{- 11}{3}$ by $- 3$ and simplify.

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Step 2.1

Divide each term in $g (- 3) = \frac{- 11}{3}$ by $- 3$ .

$\frac{g (- 3)}{- 3} = \frac{\frac{- 11}{3}}{- 3}$

Step 2.2

Simplify the left side.

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Step 2.2.1

Cancel the common factor of $- 3$ .

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Step 2.2.1.1

Cancel the common factor.

$\frac{g \cdot - 3}{- 3} = \frac{\frac{- 11}{3}}{- 3}$

Step 2.2.1.2

Divide $g$ by $1$ .

$g = \frac{\frac{- 11}{3}}{- 3}$

Step 2.3

Simplify the right side.

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Step 2.3.1

Multiply the numerator by the reciprocal of the denominator.

$g = \frac{- 11}{3} \cdot \frac{1}{- 3}$

Step 2.3.2

Move the negative in front of the fraction.

$g = - \frac{11}{3} \cdot \frac{1}{- 3}$

Step 2.3.3

Move the negative in front of the fraction.

$g = - \frac{11}{3} (- \frac{1}{3})$

Step 2.3.4

Multiply $- \frac{11}{3} (- \frac{1}{3})$ .

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Step 2.3.4.1

Multiply $- 1$ by $- 1$ .

$g = 1 (\frac{11}{3}) \frac{1}{3}$

Step 2.3.4.2

Multiply $\frac{11}{3}$ by $1$ .

$g = \frac{11}{3} \cdot \frac{1}{3}$

Step 2.3.4.3

Multiply $\frac{11}{3}$ by $\frac{1}{3}$ .

$g = \frac{11}{3 \cdot 3}$

Step 2.3.4.4

Multiply $3$ by $3$ .

$g = \frac{11}{9}$

Step 3

The result can be shown in multiple forms.

Exact Form:

$g = \frac{11}{9}$

Decimal Form:

$g = 1.\overline{2}$

Mixed Number Form:

$g = 1 \frac{2}{9}$