Pre-Algebra Examples

$\frac{c}{c - k} \div \frac{b}{k - c}$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{c}{c - k} \cdot \frac{k - c}{b}$

Step 2

Multiply $\frac{c}{c - k}$ by $\frac{k - c}{b}$ .

$\frac{c (k - c)}{(c - k) b}$

Step 3

Cancel the common factor of $k - c$ and $c - k$ .

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Step 3.1

Factor $- 1$ out of $k$ .

$\frac{c (- 1 (- k) - c)}{(c - k) b}$

Step 3.2

Factor $- 1$ out of $- c$ .

$\frac{c (- 1 (- k) - (c))}{(c - k) b}$

Step 3.3

Factor $- 1$ out of $- 1 (- k) - (c)$ .

$\frac{c (- 1 (- k + c))}{(c - k) b}$

Step 3.4

Reorder terms.

$\frac{c (- 1 (c - k))}{(c - k) b}$

Step 3.5

Cancel the common factor.

$\frac{c (- 1 (c - k))}{(c - k) b}$

Step 3.6

Rewrite the expression.

$\frac{c \cdot (- 1)}{b}$

$\frac{c \cdot (- 1)}{b}$

Step 4

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

$\frac{- 1 \cdot c}{b}$

Step 5

Move the negative in front of the fraction.

$- \frac{c}{b}$

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