Evaluate (2pi)/(pi/3)

Problem

(2*π)/π/3

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. Rewrite the expression as a multiplication.

(2*π)/1⋅3/π

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

(2⋅3)/1

5. Simplify the remaining numerical expression by multiplying the integers.

6

Final Answer

(2*π)/π/3=6

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