Basic Math Examples

$- \frac{1}{2} g = - 3 \frac{1}{3}$

Step 1

Simplify the left side.

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Step 1.1

Combine $g$ and $\frac{1}{2}$ .

$- \frac{g}{2} = - 3 \frac{1}{3}$

Step 2

Simplify the right side.

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Step 2.1

Convert $3 \frac{1}{3}$ to an improper fraction.

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Step 2.1.1

A mixed number is an addition of its whole and fractional parts.

$- \frac{g}{2} = - (3 + \frac{1}{3})$

Step 2.1.2

Add $3$ and $\frac{1}{3}$ .

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Step 2.1.2.1

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

$- \frac{g}{2} = - (3 \cdot \frac{3}{3} + \frac{1}{3})$

Step 2.1.2.2

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

$- \frac{g}{2} = - (\frac{3 \cdot 3}{3} + \frac{1}{3})$

Step 2.1.2.3

Combine the numerators over the common denominator.

$- \frac{g}{2} = - \frac{3 \cdot 3 + 1}{3}$

Step 2.1.2.4

Simplify the numerator.

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Step 2.1.2.4.1

Multiply $3$ by $3$ .

$- \frac{g}{2} = - \frac{9 + 1}{3}$

Step 2.1.2.4.2

Add $9$ and $1$ .

$- \frac{g}{2} = - \frac{10}{3}$

Step 3

Multiply both sides of the equation by $- 2$ .

$- 2 (- \frac{g}{2}) = - 2 (- \frac{10}{3})$

Step 4

Simplify both sides of the equation.

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Step 4.1

Simplify the left side.

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Step 4.1.1

Simplify $- 2 (- \frac{g}{2})$ .

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Step 4.1.1.1

Cancel the common factor of $2$ .

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Step 4.1.1.1.1

Move the leading negative in $- \frac{g}{2}$ into the numerator.

$- 2 \frac{- g}{2} = - 2 (- \frac{10}{3})$

Step 4.1.1.1.2

Factor $2$ out of $- 2$ .

$2 (- 1) \frac{- g}{2} = - 2 (- \frac{10}{3})$

Step 4.1.1.1.3

Cancel the common factor.

$2 \cdot - 1 \frac{- g}{2} = - 2 (- \frac{10}{3})$

Step 4.1.1.1.4

Rewrite the expression.

$- - g = - 2 (- \frac{10}{3})$

Step 4.1.1.2

Multiply.

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Step 4.1.1.2.1

Multiply $- 1$ by $- 1$ .

$1 g = - 2 (- \frac{10}{3})$

Step 4.1.1.2.2

Multiply $g$ by $1$ .

$g = - 2 (- \frac{10}{3})$

Step 4.2

Simplify the right side.

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Step 4.2.1

Multiply $- 2 (- \frac{10}{3})$ .

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Step 4.2.1.1

Multiply $- 1$ by $- 2$ .

$g = 2 (\frac{10}{3})$

Step 4.2.1.2

Combine $2$ and $\frac{10}{3}$ .

$g = \frac{2 \cdot 10}{3}$

Step 4.2.1.3

Multiply $2$ by $10$ .

$g = \frac{20}{3}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$g = \frac{20}{3}$

Decimal Form:

$g = 6.\overline{6}$

Mixed Number Form:

$g = 6 \frac{2}{3}$