Question

multiply. write your answer as a fraction in simplest form.\\(\frac{3}{2} \times \frac{4}{9}\\)

Explanation:

Step1: Multiply numerators and denominators

To multiply two fractions, we multiply the numerators together and the denominators together. So for $\frac{3}{2} \times \frac{4}{9}$, we have:
$$\frac{3 \times 4}{2 \times 9} = \frac{12}{18}$$

Step2: Simplify the fraction

We can simplify $\frac{12}{18}$ by finding the greatest common divisor (GCD) of 12 and 18, which is 6. Then we divide both the numerator and the denominator by 6:
$$\frac{12 \div 6}{18 \div 6} = \frac{2}{3}$$

Answer:

$\frac{2}{3}$