Basic Math Examples

$\frac{π}{\frac{50}{π + 2}} \cdot \frac{- 50}{{(π + 2)}^{2}}$

Step 1

Combine.

$\frac{π \cdot - 50}{\frac{50}{π + 2} {(π + 2)}^{2}}$

Step 2

Combine $\frac{50}{π + 2}$ and ${(π + 2)}^{2}$ .

$\frac{π \cdot - 50}{\frac{50 {(π + 2)}^{2}}{π + 2}}$

Step 3

Reduce the expression by cancelling the common factors.

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Step 3.1

Reduce the expression $\frac{50 {(π + 2)}^{2}}{π + 2}$ by cancelling the common factors.

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Step 3.1.1

Factor $π + 2$ out of $50 {(π + 2)}^{2}$ .

$\frac{π \cdot - 50}{\frac{(π + 2) (50 (π + 2))}{π + 2}}$

Step 3.1.2

Multiply by $1$ .

$\frac{π \cdot - 50}{\frac{(π + 2) (50 (π + 2))}{(π + 2) \cdot 1}}$

Step 3.1.3

Cancel the common factor.

$\frac{π \cdot - 50}{\frac{(π + 2) (50 (π + 2))}{(π + 2) \cdot 1}}$

Step 3.1.4

Rewrite the expression.

$\frac{π \cdot - 50}{\frac{50 (π + 2)}{1}}$

Step 3.2

Divide $50 (π + 2)$ by $1$ .

$\frac{π \cdot - 50}{50 (π + 2)}$

Step 4

Cancel the common factor of $- 50$ and $50$ .

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Step 4.1

Factor $50$ out of $π \cdot - 50$ .

$\frac{50 (π \cdot - 1)}{50 (π + 2)}$

Step 4.2

Cancel the common factors.

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Step 4.2.1

Cancel the common factor.

$\frac{50 (π \cdot - 1)}{50 (π + 2)}$

Step 4.2.2

Rewrite the expression.

$\frac{π \cdot - 1}{π + 2}$

Step 5

Simplify the expression.

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Step 5.1

Move $- 1$ to the left of $π$ .

$\frac{- 1 \cdot π}{π + 2}$

Step 5.2

Move the negative in front of the fraction.

$- \frac{π}{π + 2}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$- \frac{π}{π + 2}$

Decimal Form:

$- 0.61101547 \dots$