Determine the result of the division involving two fractions.:
$\frac{2}{3} \div \frac{3}{4}$
Answer
Final Answer: The result of the division involving the two fractions is \(\boxed{0.8888888888888888}\)
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 \(\boxed{0.8888888888888888}\)
