Basic Math Examples

$\frac{5 c d}{10 c - 10 c d}$

Step 1

Simplify the denominator.

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Step 1.1

Factor $10 c$ out of $10 c - 10 c d$ .

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Step 1.1.1

Factor $10 c$ out of $10 c$ .

$\frac{5 c d}{10 c (1) - 10 c d}$

Step 1.1.2

Factor $10 c$ out of $- 10 c d$ .

$\frac{5 c d}{10 c (1) + 10 c (- 1 d)}$

Step 1.1.3

Factor $10 c$ out of $10 c (1) + 10 c (- 1 d)$ .

$\frac{5 c d}{10 c (1 - 1 d)}$

$\frac{5 c d}{10 c (1 - 1 d)}$

Step 1.2

Rewrite $- 1 d$ as $- d$ .

$\frac{5 c d}{10 c (1 - d)}$

$\frac{5 c d}{10 c (1 - d)}$

Step 2

Reduce the expression by cancelling the common factors.

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Step 2.1

Cancel the common factor of $5$ and $10$ .

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Step 2.1.1

Factor $5$ out of $5 c d$ .

$\frac{5 (c d)}{10 c (1 - d)}$

Step 2.1.2

Cancel the common factors.

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Step 2.1.2.1

Factor $5$ out of $10 c (1 - d)$ .

$\frac{5 (c d)}{5 (2 c (1 - d))}$

Step 2.1.2.2

Cancel the common factor.

$\frac{5 (c d)}{5 (2 c (1 - d))}$

Step 2.1.2.3

Rewrite the expression.

$\frac{c d}{2 c (1 - d)}$

$\frac{c d}{2 c (1 - d)}$

$\frac{c d}{2 c (1 - d)}$

Step 2.2

Cancel the common factor of $c$ .

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Step 2.2.1

Cancel the common factor.

$\frac{c d}{2 c (1 - d)}$

Step 2.2.2

Rewrite the expression.

$\frac{d}{2 (1 - d)}$

$\frac{d}{2 (1 - d)}$

$\frac{d}{2 (1 - d)}$

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