Evaluate (5pi)/6-2pi

Problem

(5*π)/6−2*π

Solution

1. Identify the terms and find a common denominator to subtract the fractions.

2. Rewrite the second term, 2*π as a fraction with a denominator of 6 by multiplying by 6/6

2*π=(12*π)/6

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

(5*π)/6−(12*π)/6

4. Subtract the numerators while keeping the common denominator.

5*π−12*π=−7*π

5. Simplify the resulting fraction.

(−7*π)/6

Final Answer

(5*π)/6−2*π=−(7*π)/6

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