Evaluate (2pi)/(pi/2)

Problem

(2*π)/π/2

Solution

1. Identify the expression as a division of a whole term by a fraction.

2. Apply the rule for dividing by a fraction, which is to multiply the numerator by the reciprocal of the denominator.

3. Write the reciprocal of π/2 as 2/π

4. Multiply the terms together.

(2*π)/1⋅2/π

5. Cancel the common factor of π from the numerator and the denominator.

(4*π)/π

6. Simplify the resulting expression to find the final numerical value.

4

Final Answer

(2*π)/π/2=4

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