Simplify pi/2-(2pi)/7

$\frac{π}{2} - \frac{2 π}{7}$

Step 1

To write $\frac{π}{2}$ as a fraction with a common denominator, multiply by $\frac{7}{7}$ .

$\frac{π}{2} \cdot \frac{7}{7} - \frac{2 π}{7}$

Step 2

To write $- \frac{2 π}{7}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{π}{2} \cdot \frac{7}{7} - \frac{2 π}{7} \cdot \frac{2}{2}$

Step 3

Write each expression with a common denominator of $14$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{π}{2}$ by $\frac{7}{7}$ .

$\frac{π \cdot 7}{2 \cdot 7} - \frac{2 π}{7} \cdot \frac{2}{2}$

Multiply $2$ by $7$ .

$\frac{π \cdot 7}{14} - \frac{2 π}{7} \cdot \frac{2}{2}$

Multiply $\frac{2 π}{7}$ by $\frac{2}{2}$ .

$\frac{π \cdot 7}{14} - \frac{2 π \cdot 2}{7 \cdot 2}$

Multiply $7$ by $2$ .

$\frac{π \cdot 7}{14} - \frac{2 π \cdot 2}{14}$

Step 4

Combine the numerators over the common denominator.

$\frac{π \cdot 7 - 2 π \cdot 2}{14}$

Step 5

Simplify the numerator.

Move $7$ to the left of $π$ .

$\frac{7 \cdot π - 2 π \cdot 2}{14}$

Multiply $2$ by $- 2$ .

$\frac{7 π - 4 π}{14}$

Subtract $4 π$ from $7 π$ .

$\frac{3 π}{14}$

Step 6

The result can be shown in multiple forms.

Exact Form:

$\frac{3 π}{14}$

Decimal Form:

$0.67319842 \dots$