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]