Basic Math Examples

$\frac{f + 4}{f - 9} \div \frac{9 f - 36}{f - 6}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{f + 4}{f - 9} \cdot \frac{f - 6}{9 f - 36}$

Step 2

Factor $9$ out of $9 f - 36$ .

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Step 2.1

Factor $9$ out of $9 f$ .

$\frac{f + 4}{f - 9} \cdot \frac{f - 6}{9 (f) - 36}$

Step 2.2

Factor $9$ out of $- 36$ .

$\frac{f + 4}{f - 9} \cdot \frac{f - 6}{9 f + 9 \cdot - 4}$

Step 2.3

Factor $9$ out of $9 f + 9 \cdot - 4$ .

$\frac{f + 4}{f - 9} \cdot \frac{f - 6}{9 (f - 4)}$

Step 3

Multiply $\frac{f + 4}{f - 9}$ by $\frac{f - 6}{9 (f - 4)}$ .

$\frac{(f + 4) (f - 6)}{(f - 9) (9 (f - 4))}$

Step 4

Move $9$ to the left of $f - 9$ .

$\frac{(f + 4) (f - 6)}{9 (f - 9) (f - 4)}$