Finite Math Examples

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

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

Step 1

Subtract

\frac{6}{9}

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

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

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

Step 2

Simplify

\frac{4}{6} - \frac{6}{9}

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

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Step 2.1

Simplify each term.

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Step 2.1.1

Cancel the common factor of

4

$4$ and

6

$6$ .

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Step 2.1.1.1

Factor

2

$2$ out of

4

$4$ .

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

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

Step 2.1.1.2

Cancel the common factors.

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Step 2.1.1.2.1

Factor

2

$2$ out of

6

$6$ .

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

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

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

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