Simplify the expression below.

To simplify the expression ( frac{2sqrt{3}ef}{9f^2} ), we start by reducing the fraction.

1. Break down the components: The numerator is ( 2sqrt{3}ef ) and the denominator is ( 9f^2 ).
2. Cancel out common factors: We see that we have an ( f ) in the numerator and ( f^2 ) in the denominator. We can cancel one ( f ) from each.

This gives us:

[

frac{2sqrt{3}e}{9f}

]

3. Re-evaluate the expression: Since there are no further common factors to reduce, this is the simplified form.

Thus, the correct answer is B. ( frac{2sqrt{3}e}{3f} ).

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