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Evaluate (7pi)/6+2pi

Problem

(7*π)/6+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 6

  3. Rewrite the second term by multiplying the numerator and denominator by 6

(7*π)/6+(2*π⋅6)/(1⋅6)

  1. Simplify the second term.

(7*π)/6+(12*π)/6

  1. Add the numerators while keeping the common denominator.

(7*π+12*π)/6

  1. Combine like terms in the numerator.

(19*π)/6

Final Answer

(7*π)/6+2*π=(19*π)/6


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