Finite Math Examples

$\frac{4}{6} = \frac{6}{9}$

Step 1

Subtract $\frac{6}{9}$ from both sides of the equation.

$\frac{4}{6} - \frac{6}{9} = 0$

Step 2

Simplify $\frac{4}{6} - \frac{6}{9}$ .

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Step 2.1

Simplify each term.

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Step 2.1.1

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

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Step 2.1.1.1

Factor $2$ out of $4$ .

$\frac{2 (2)}{6} - \frac{6}{9} = 0$

Step 2.1.1.2

Cancel the common factors.

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Step 2.1.1.2.1

Factor $2$ out of $6$ .

$\frac{2 \cdot 2}{2 \cdot 3} - \frac{6}{9} = 0$

Step 2.1.1.2.2

Cancel the common factor.

$\frac{2 \cdot 2}{2 \cdot 3} - \frac{6}{9} = 0$

Step 2.1.1.2.3

Rewrite the expression.

$\frac{2}{3} - \frac{6}{9} = 0$

$\frac{2}{3} - \frac{6}{9} = 0$

$\frac{2}{3} - \frac{6}{9} = 0$

Step 2.1.2

Cancel the common factor of $6$ and $9$ .

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Step 2.1.2.1

Factor $3$ out of $6$ .

$\frac{2}{3} - \frac{3 (2)}{9} = 0$

Step 2.1.2.2

Cancel the common factors.

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Step 2.1.2.2.1

Factor $3$ out of $9$ .

$\frac{2}{3} - \frac{3 \cdot 2}{3 \cdot 3} = 0$

Step 2.1.2.2.2

Cancel the common factor.

$\frac{2}{3} - \frac{3 \cdot 2}{3 \cdot 3} = 0$

Step 2.1.2.2.3

Rewrite the expression.

$\frac{2}{3} - \frac{2}{3} = 0$

$\frac{2}{3} - \frac{2}{3} = 0$

$\frac{2}{3} - \frac{2}{3} = 0$

$\frac{2}{3} - \frac{2}{3} = 0$

Step 2.2

Combine the numerators over the common denominator.

$\frac{2 - 2}{3} = 0$

Step 2.3

Subtract $2$ from $2$ .

$\frac{0}{3} = 0$

Step 2.4

Divide $0$ by $3$ .

$0 = 0$

$0 = 0$

Step 3

Since $0 = 0$ , the equation will always be true.

Always true

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