Simplify (2pi)/(pi/4)

Problem

(2*π)/π/4

Solution

1. Identify the expression as a division of a 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⋅4/π

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

2⋅4

5. Multiply the remaining constants to find the final value.

8

Final Answer

(2*π)/π/4=8

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