Step 1 :Given the division problem: \(\frac{2}{3} \div \frac{3}{4}\)
Step 2 :Remember that dividing by a fraction is the same as multiplying by its reciprocal. So, we need to multiply \(\frac{2}{3}\) by the reciprocal of \(\frac{3}{4}\), which is \(\frac{4}{3}\).
Step 3 :Perform the multiplication: \(\frac{2}{3} \times \frac{4}{3} = \frac{8}{9}\)
Step 4 :Convert the fraction \(\frac{8}{9}\) to a decimal to get the final result: 0.8888888888888888
Step 5 :Final Answer: The result of the division involving the two fractions is \(\boxed{0.8888888888888888}\)