Basic Math Examples

$\frac{5 π}{24} (rad) \cdot \frac{180}{π}$

Step 1

Combine $\frac{5 π}{24} (rad)$ and $\frac{180}{π}$ .

$\frac{\frac{5 π}{24} \cdot 180}{π} rad$

Step 2

Combine $\frac{5 π}{24}$ and $180$ .

$\frac{\frac{5 π \cdot 180}{24}}{π} rad$

Step 3

Multiply $180$ by $5$ .

$\frac{\frac{900 π}{24}}{π} rad$

Step 4

Reduce the expression $\frac{900 π}{24}$ by cancelling the common factors.

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Step 4.1

Factor $12$ out of $900 π$ .

$\frac{\frac{12 (75 π)}{24}}{π} rad$

Step 4.2

Factor $12$ out of $24$ .

$\frac{\frac{12 (75 π)}{12 (2)}}{π} rad$

Step 4.3

Cancel the common factor.

$\frac{\frac{12 (75 π)}{12 \cdot 2}}{π} rad$

Step 4.4

Rewrite the expression.

$\frac{\frac{75 π}{2}}{π} rad$

Step 5

Multiply the numerator by the reciprocal of the denominator.

$\frac{75 π}{2} \cdot \frac{1}{π} rad$

Step 6

Cancel the common factor of $π$ .

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Step 6.1

Factor $π$ out of $75 π$ .

$\frac{π \cdot 75}{2} \cdot \frac{1}{π} rad$

Step 6.2

Cancel the common factor.

$\frac{π \cdot 75}{2} \cdot \frac{1}{π} rad$

Step 6.3

Rewrite the expression.

$\frac{75}{2} rad$