Basic Math Examples

$\frac{p + 9}{p - 7} \div (p + 9) \cdot \frac{p - 2}{(p - 4) (p - 2)}$

Step 1

Rewrite the division as a fraction.

$\frac{\frac{p + 9}{p - 7}}{p + 9} \cdot \frac{p - 2}{(p - 4) (p - 2)}$

Step 2

Multiply the numerator by the reciprocal of the denominator.

$\frac{p + 9}{p - 7} \cdot \frac{1}{p + 9} \cdot \frac{p - 2}{(p - 4) (p - 2)}$

Step 3

Cancel the common factor of $p + 9$ .

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Step 3.1

Cancel the common factor.

$\frac{p + 9}{p - 7} \cdot \frac{1}{p + 9} \cdot \frac{p - 2}{(p - 4) (p - 2)}$

Step 3.2

Rewrite the expression.

$\frac{1}{p - 7} \cdot \frac{p - 2}{(p - 4) (p - 2)}$

Step 4

Cancel the common factor of $p - 2$ .

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Step 4.1

Cancel the common factor.

$\frac{1}{p - 7} \cdot \frac{p - 2}{(p - 4) (p - 2)}$

Step 4.2

Rewrite the expression.

$\frac{1}{p - 7} \cdot \frac{1}{p - 4}$

Step 5

Multiply $\frac{1}{p - 7}$ by $\frac{1}{p - 4}$ .

$\frac{1}{(p - 7) (p - 4)}$