Basic Math Examples

$\frac{d}{d - b} \div \frac{a}{b - d}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{d}{d - b} \cdot \frac{b - d}{a}$

Step 2

Multiply $\frac{d}{d - b}$ by $\frac{b - d}{a}$ .

$\frac{d (b - d)}{(d - b) a}$

Step 3

Cancel the common factor of $b - d$ and $d - b$ .

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Step 3.1

Factor $- 1$ out of $b$ .

$\frac{d (- 1 (- b) - d)}{(d - b) a}$

Step 3.2

Factor $- 1$ out of $- d$ .

$\frac{d (- 1 (- b) - (d))}{(d - b) a}$

Step 3.3

Factor $- 1$ out of $- 1 (- b) - (d)$ .

$\frac{d (- 1 (- b + d))}{(d - b) a}$

Step 3.4

Reorder terms.

$\frac{d (- 1 (- b + d))}{(- b + d) a}$

Step 3.5

Cancel the common factor.

$\frac{d (- 1 (- b + d))}{(- b + d) a}$

Step 3.6

Rewrite the expression.

$\frac{d \cdot (- 1)}{a}$

$\frac{d \cdot (- 1)}{a}$

Step 4

Simplify the expression.

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Step 4.1

Move $- 1$ to the left of $d$ .

$\frac{- 1 \cdot d}{a}$

Step 4.2

Move the negative in front of the fraction.

$- \frac{d}{a}$

$- \frac{d}{a}$

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