Question

36 multiple choice 1 point \\(\frac{2}{3} \div \frac{3}{4} =\\) \\(\frac{.666}{.75}\\) \\(\frac{8}{9}\\) \\(\frac{1}{2}\\) 2

Explanation:

Step1: Recall division of fractions rule

To divide two fractions, we multiply the first fraction by the reciprocal of the second fraction. So, \(\frac{2}{3} \div \frac{3}{4}=\frac{2}{3}\times\frac{4}{3}\).

Step2: Multiply the numerators and denominators

Multiply the numerators: \(2\times4 = 8\). Multiply the denominators: \(3\times3=9\). So the result is \(\frac{8}{9}\).

Answer:

\(\frac{8}{9}\) (corresponding to the option with \(\frac{8}{9}\))