Evaluate pi/8*180/pi

$\frac{π}{8} \cdot \frac{180}{π}$

Step 1

Cancel the common factor of $π$ .

Cancel the common factor.

$\frac{π}{8} \cdot \frac{180}{π}$

Rewrite the expression.

$\frac{1}{8} \cdot 180$

$\frac{1}{8} \cdot 180$

Step 2

Cancel the common factor of $4$ .

Factor $4$ out of $8$ .

$\frac{1}{4 (2)} \cdot 180$

Factor $4$ out of $180$ .

$\frac{1}{4 \cdot 2} \cdot (4 \cdot 45)$

Cancel the common factor.

$\frac{1}{4 \cdot 2} \cdot (4 \cdot 45)$

Rewrite the expression.

$\frac{1}{2} \cdot 45$

$\frac{1}{2} \cdot 45$

Step 3

Combine $\frac{1}{2}$ and $45$ .

$\frac{45}{2}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$\frac{45}{2}$

Decimal Form:

$22.5$

Mixed Number Form:

$22 \frac{1}{2}$

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