Question

multiply. write your answer as a fraction in simplest form. \\(\frac{2}{3} \times \frac{9}{14}\\)

Explanation:

Step1: Multiply numerators and denominators

To multiply two fractions, we multiply the numerators together and the denominators together. So for $\frac{2}{3} \times \frac{9}{14}$, we have numerator $2 \times 9 = 18$ and denominator $3 \times 14 = 42$. So the product is $\frac{18}{42}$.

Step2: Simplify the fraction

We find the greatest common divisor (GCD) of 18 and 42. The factors of 18 are 1, 2, 3, 6, 9, 18. The factors of 42 are 1, 2, 3, 6, 7, 14, 21, 42. The GCD is 6. We divide both the numerator and the denominator by 6: $\frac{18 \div 6}{42 \div 6}=\frac{3}{7}$.

Answer:

$\frac{3}{7}$