Evaluate (2pi)/3-2pi

Problem

(2*π)/3−2*π

Solution

1. Identify the expression as a subtraction of two terms involving π

2. Find a common denominator for the terms by rewriting 2*π as a fraction with a denominator of 3

2*π=(6*π)/3

3. Substitute the new fraction back into the original expression.

(2*π)/3−(6*π)/3

4. Subtract the numerators while keeping the common denominator.

(2*π−6*π)/3

5. Simplify the numerator to find the final result.

(−4*π)/3

Final Answer

(2*π)/3−2*π=−(4*π)/3

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