Finite Math Examples

$\frac{2}{5} g = \frac{3}{5}$

Step 1

Multiply both sides of the equation by $\frac{5}{2}$ .

$\frac{5}{2} (\frac{2}{5} g) = \frac{5}{2} \cdot \frac{3}{5}$

Step 2

Simplify both sides of the equation.

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Step 2.1

Simplify the left side.

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Step 2.1.1

Simplify $\frac{5}{2} (\frac{2}{5} g)$ .

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Step 2.1.1.1

Combine $\frac{2}{5}$ and $g$ .

$\frac{5}{2} \cdot \frac{2 g}{5} = \frac{5}{2} \cdot \frac{3}{5}$

Step 2.1.1.2

Cancel the common factor of $5$ .

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Step 2.1.1.2.1

Cancel the common factor.

$\frac{5}{2} \cdot \frac{2 g}{5} = \frac{5}{2} \cdot \frac{3}{5}$

Step 2.1.1.2.2

Rewrite the expression.

$\frac{1}{2} (2 g) = \frac{5}{2} \cdot \frac{3}{5}$

Step 2.1.1.3

Cancel the common factor of $2$ .

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Step 2.1.1.3.1

Factor $2$ out of $2 g$ .

$\frac{1}{2} (2 (g)) = \frac{5}{2} \cdot \frac{3}{5}$

Step 2.1.1.3.2

Cancel the common factor.

$\frac{1}{2} (2 g) = \frac{5}{2} \cdot \frac{3}{5}$

Step 2.1.1.3.3

Rewrite the expression.

$g = \frac{5}{2} \cdot \frac{3}{5}$

Step 2.2

Simplify the right side.

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Step 2.2.1

Simplify $\frac{5}{2} \cdot \frac{3}{5}$ .

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Step 2.2.1.1

Cancel the common factor of $5$ .

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Step 2.2.1.1.1

Cancel the common factor.

$g = \frac{5}{2} \cdot \frac{3}{5}$

Step 2.2.1.1.2

Rewrite the expression.

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

Step 2.2.1.2

Combine $\frac{1}{2}$ and $3$ .

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

Step 3

The result can be shown in multiple forms.

Exact Form:

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

Decimal Form:

$g = 1.5$

Mixed Number Form:

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