evaluate ( 8 div \frac{2}{5} )

Explanation:

Step1: Divide by a fraction

Dividing by a fraction is equivalent to multiplying by its reciprocal. So (8\div\frac{2}{5}=8\times\frac{5}{2}).

Step2: Simplify the multiplication

(8\times\frac{5}{2}=\frac{8\times5}{2}). Since (8\div2 = 4), then (\frac{8\times5}{2}=4\times5).

Step3: Calculate the result

(4\times5 = 20).

Answer:

(20)