Evaluate (5pi)/4+pi/4

Problem

(5*π)/4+π/4

Solution

1. Identify the common denominator. Both fractions already share the denominator 4

2. Combine the numerators over the common denominator.

(5*π+π)/4

3. Simplify the numerator by adding the terms.

(6*π)/4

4. Reduce the fraction by dividing both the numerator and the denominator by their greatest common divisor, which is 2

(3*π)/2

Final Answer

(5*π)/4+π/4=(3*π)/2

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