Answer :

Sure, let's multiply the given fractions step-by-step.

Given fractions are:
[tex]\[ \frac{4}{9} \quad \text{and} \quad \frac{5}{7} \][/tex]

To multiply two fractions, follow these steps:

1. Multiply the numerators of the fractions to get the numerator of the product:
[tex]\[ 4 \times 5 = 20 \][/tex]

2. Multiply the denominators of the fractions to get the denominator of the product:
[tex]\[ 9 \times 7 = 63 \][/tex]

3. Combine the results to form the product of the fractions:
[tex]\[ \frac{4}{9} \times \frac{5}{7} = \frac{20}{63} \][/tex]

So, the product of [tex]\(\frac{4}{9}\)[/tex] and [tex]\(\frac{5}{7}\)[/tex] is:
[tex]\[ \frac{20}{63} \][/tex]