Evaluate ((3pi)/4)/(2pi)

$\frac{\frac{3 π}{4}}{2 π}$

Step 1

Multiply the numerator by the reciprocal of the denominator.

$\frac{3 π}{4} \cdot \frac{1}{2 π}$

Step 2

Cancel the common factor of $π$ .

Factor $π$ out of $3 π$ .

$\frac{π \cdot 3}{4} \cdot \frac{1}{2 π}$

Factor $π$ out of $2 π$ .

$\frac{π \cdot 3}{4} \cdot \frac{1}{π \cdot 2}$

Cancel the common factor.

$\frac{π \cdot 3}{4} \cdot \frac{1}{π \cdot 2}$

Rewrite the expression.

$\frac{3}{4} \cdot \frac{1}{2}$

Step 3

Multiply $\frac{3}{4}$ by $\frac{1}{2}$ .

$\frac{3}{4 \cdot 2}$

Step 4

Multiply $4$ by $2$ .

$\frac{3}{8}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{3}{8}$

Decimal Form:

$0.375$