Verified Answer :

(2/3) / (3/2) = (2/3)*(2/3) = 4/9

Answer:

The answer is \(\frac{4}{9}\)

Step-by-step explanation:

In order to determine the simplest form, we have to know about ratio.

The ratio is a division of two values, it means, it is a fraction. In this case, we have a fraction both in the numerator as in the denominator.

When we have a fraction in the denominator, we have to change the operation from division to multiplication and the fraction in the denominator is inverted.

So,

\(\frac{\frac{2}{3} }{\frac{3}{2} }\\\\\frac{2}{3} *\frac{2}{3}\\\\\frac{4}{9}\)

Finally, the simplest form of the ratio is \(\frac{4}{9}\)