Evaluate 5/4pi-pi

$\frac{5}{4} π - π$

Step 1

Combine $\frac{5}{4}$ and $π$ .

$\frac{5 π}{4} - π$

Step 2

To write $- π$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{5 π}{4} - π \cdot \frac{4}{4}$

Step 3

Combine fractions.

Combine $- π$ and $\frac{4}{4}$ .

$\frac{5 π}{4} + \frac{- π \cdot 4}{4}$

Combine the numerators over the common denominator.

$\frac{5 π - π \cdot 4}{4}$

Step 4

Simplify the numerator.

Multiply $4$ by $- 1$ .

$\frac{5 π - 4 π}{4}$

Subtract $4 π$ from $5 π$ .

$\frac{π}{4}$

Step 5

The result can be shown in multiple forms.

Exact Form:

$\frac{π}{4}$

Decimal Form:

$0.78539816 \dots$