Basic Math Examples

$\frac{p (- 50)}{- 50 p + 20000}$

Step 1

Cancel the common factor of $- 50$ and $- 50 p + 20000$ .

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Step 1.1

Factor $50$ out of $p (- 50)$ .

$\frac{50 (p \cdot (- 1))}{- 50 p + 20000}$

Step 1.2

Cancel the common factors.

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Step 1.2.1

Factor $50$ out of $- 50 p$ .

$\frac{50 (p \cdot (- 1))}{50 (- p) + 20000}$

Step 1.2.2

Factor $50$ out of $20000$ .

$\frac{50 (p \cdot (- 1))}{50 (- p) + 50 (400)}$

Step 1.2.3

Factor $50$ out of $50 (- p) + 50 (400)$ .

$\frac{50 (p \cdot (- 1))}{50 (- p + 400)}$

Step 1.2.4

Cancel the common factor.

$\frac{50 (p \cdot (- 1))}{50 (- p + 400)}$

Step 1.2.5

Rewrite the expression.

$\frac{p \cdot (- 1)}{- p + 400}$

$\frac{p \cdot (- 1)}{- p + 400}$

$\frac{p \cdot (- 1)}{- p + 400}$

Step 2

Simplify the expression.

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Step 2.1

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

$\frac{- 1 \cdot p}{- p + 400}$

Step 2.2

Move the negative in front of the fraction.

$- \frac{p}{- p + 400}$

$- \frac{p}{- p + 400}$

Step 3

Factor $- 1$ out of $- p$ .

$- \frac{p}{- (p) + 400}$

Step 4

Rewrite $400$ as $- 1 (- 400)$ .

$- \frac{p}{- (p) - 1 (- 400)}$

Step 5

Factor $- 1$ out of $- (p) - 1 (- 400)$ .

$- \frac{p}{- (p - 400)}$

Step 6

Simplify the expression.

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Step 6.1

Rewrite $- (p - 400)$ as $- 1 (p - 400)$ .

$- \frac{p}{- 1 (p - 400)}$

Step 6.2

Move the negative in front of the fraction.

$- - \frac{p}{p - 400}$

Step 6.3

Multiply $- 1$ by $- 1$ .

$1 \frac{p}{p - 400}$

Step 6.4

Multiply $\frac{p}{p - 400}$ by $1$ .

$\frac{p}{p - 400}$

$\frac{p}{p - 400}$

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