Finite Math Examples

$\frac{4 x}{6} = \frac{3}{5}$

Step 1

Cancel the common factor of $4$ and $6$ .

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Step 1.1

Factor $2$ out of $4 x$ .

$\frac{2 (2 x)}{6} = \frac{3}{5}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $2$ out of $6$ .

$\frac{2 (2 x)}{2 (3)} = \frac{3}{5}$

Step 1.2.2

Cancel the common factor.

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

Step 1.2.3

Rewrite the expression.

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

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

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

Step 2

Multiply both sides by $3$ .

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

Step 3

Simplify.

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Step 3.1

Simplify the left side.

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Step 3.1.1

Cancel the common factor of $3$ .

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Step 3.1.1.1

Cancel the common factor.

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

Step 3.1.1.2

Rewrite the expression.

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

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

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

Step 3.2

Simplify the right side.

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Step 3.2.1

Multiply $\frac{3}{5} \cdot 3$ .

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Step 3.2.1.1

Combine $\frac{3}{5}$ and $3$ .

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

Step 3.2.1.2

Multiply $3$ by $3$ .

$2 x = \frac{9}{5}$

$2 x = \frac{9}{5}$

$2 x = \frac{9}{5}$

$2 x = \frac{9}{5}$

Step 4

Divide each term in $2 x = \frac{9}{5}$ by $2$ and simplify.

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Step 4.1

Divide each term in $2 x = \frac{9}{5}$ by $2$ .

$\frac{2 x}{2} = \frac{\frac{9}{5}}{2}$

Step 4.2

Simplify the left side.

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Step 4.2.1

Cancel the common factor of $2$ .

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Step 4.2.1.1

Cancel the common factor.

$\frac{2 x}{2} = \frac{\frac{9}{5}}{2}$

Step 4.2.1.2

Divide $x$ by $1$ .

$x = \frac{\frac{9}{5}}{2}$

$x = \frac{\frac{9}{5}}{2}$

$x = \frac{\frac{9}{5}}{2}$

Step 4.3

Simplify the right side.

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Step 4.3.1

Multiply the numerator by the reciprocal of the denominator.

$x = \frac{9}{5} \cdot \frac{1}{2}$

Step 4.3.2

Multiply $\frac{9}{5} \cdot \frac{1}{2}$ .

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Step 4.3.2.1

Multiply $\frac{9}{5}$ by $\frac{1}{2}$ .

$x = \frac{9}{5 \cdot 2}$

Step 4.3.2.2

Multiply $5$ by $2$ .

$x = \frac{9}{10}$

$x = \frac{9}{10}$

$x = \frac{9}{10}$

$x = \frac{9}{10}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$x = \frac{9}{10}$

Decimal Form:

$x = 0.9$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$