Basic Math Examples

$\frac{3}{5 d} \div \frac{- 9}{15 d f}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{3}{5 d} \cdot \frac{15 d f}{- 9}$

Step 2

Cancel the common factor of $3$ .

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Step 2.1

Factor $3$ out of $- 9$ .

$\frac{3}{5 d} \cdot \frac{15 d f}{3 (- 3)}$

Step 2.2

Cancel the common factor.

$\frac{3}{5 d} \cdot \frac{15 d f}{3 \cdot - 3}$

Step 2.3

Rewrite the expression.

$\frac{1}{5 d} \cdot \frac{15 d f}{- 3}$

Step 3

Cancel the common factor of $5 d$ .

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Step 3.1

Factor $5 d$ out of $15 d f$ .

$\frac{1}{5 d} \cdot \frac{5 d (3 f)}{- 3}$

Step 3.2

Cancel the common factor.

$\frac{1}{5 d} \cdot \frac{5 d (3 f)}{- 3}$

Step 3.3

Rewrite the expression.

$\frac{3 f}{- 3}$

Step 4

Cancel the common factor of $3$ and $- 3$ .

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Step 4.1

Factor $3$ out of $3 f$ .

$\frac{3 (f)}{- 3}$

Step 4.2

Move the negative one from the denominator of $\frac{f}{- 1}$ .

$- 1 \cdot f$

Step 5

Rewrite $- 1 \cdot f$ as $- f$ .

$- f$