Evaluate 2pi-pi/6

Problem

2*π−π/6

Solution

1. Identify the terms in the expression as fractions with a common denominator.

2. Rewrite the first term 2*π as a fraction with a denominator of 6 by multiplying the numerator and denominator by 6

2*π=(12*π)/6

3. Subtract the two fractions now that they share a common denominator.

(12*π)/6−π/6

4. Combine the numerators over the shared denominator.

(12*π−π)/6

5. Simplify the numerator to find the final value.

(11*π)/6

Final Answer

2*π−π/6=(11*π)/6

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