Evaluate (7pi)/4+2pi

Problem

(7*π)/4+2*π

Solution

1. Identify the terms to be added, noting that 2*π can be written as a fraction with a denominator of 1

2. Find a common denominator for the two terms, which is 4

3. Rewrite the second term by multiplying the numerator and denominator by 4

(7*π)/4+(2*π⋅4)/(1⋅4)

4. Simplify the second term.

(7*π)/4+(8*π)/4

5. Add the numerators while keeping the common denominator.

(7*π+8*π)/4

6. Combine like terms in the numerator.

(15*π)/4

Final Answer

(7*π)/4+2*π=(15*π)/4

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