Evaluate 2pi-pi/3

Problem

2*π−π/3

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 3 by multiplying the numerator and denominator by 3

2*π=(6*π)/3

3. Subtract the second fraction from the first now that they share a common denominator.

(6*π)/3−π/3

4. Combine the numerators over the common denominator.

(6*π−π)/3

5. Simplify the numerator to find the final value.

(5*π)/3

Final Answer

2*π−π/3=(5*π)/3

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