Question

multiply.
\frac{2}{5} \times \frac{7}{9}

Explanation:

Step1: Multiply numerators

To multiply the fractions $\frac{2}{5}$ and $\frac{7}{9}$, we first multiply the numerators (the top numbers) together. So, we calculate $2\times7$.
$2\times7 = 14$

Step2: Multiply denominators

Next, we multiply the denominators (the bottom numbers) together. That is, we calculate $5\times9$.
$5\times9 = 45$

Step3: Form the resulting fraction

The product of the two fractions is the fraction with the product of the numerators as the new numerator and the product of the denominators as the new denominator. So, putting it together, we have $\frac{14}{45}$. Since 14 and 45 have no common factors other than 1, this fraction is in its simplest form.

Answer:

$\frac{14}{45}$