Evaluate pi/2+(2pi)/3

Problem

π/2+(2*π)/3

Solution

1. Identify the least common denominator for the fractions with denominators 2 and 3 which is 6

2. Rewrite the first fraction by multiplying the numerator and denominator by 3

(π⋅3)/(2⋅3)=(3*π)/6

3. Rewrite the second fraction by multiplying the numerator and denominator by 2

(2*π⋅2)/(3⋅2)=(4*π)/6

4. Add the two fractions now that they have a common denominator.

(3*π)/6+(4*π)/6=(3*π+4*π)/6

5. Simplify the numerator by combining the like terms.

(7*π)/6

Final Answer

π/2+(2*π)/3=(7*π)/6

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