Evaluate 2pi-pi/4

Problem

2*π−π/4

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 4 by multiplying the numerator and denominator by 4

2*π=(8*π)/4

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

(8*π)/4−π/4

4. Combine the numerators over the common denominator.

(8*π−π)/4

5. Simplify the numerator to find the final result.

(7*π)/4

Final Answer

2*π−π/4=(7*π)/4

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