To solve this you first need to turn your mixed numbers into improper fractions. to do this for [tex]9 \frac{4}{5}[/tex] you multiply the denominator (5) by the whole number (9) to get 45 and then add that to the numerator (4) to get your new fraction [tex]\frac{49}{5}[/tex].
You repeat this process with [tex]3\frac{1}{2}[/tex] to get [tex]\frac{7}{2}[/tex].
Now that you have two fractions you can multiply by the opposite reciprocal. To do this you flip the second fraction and change the division sign to a multiplication sign like so [tex]\frac{49}{5} * \frac{2}{7}[/tex]
Then, you just multiply the fractions by multiplying the numerators to get 98 and multiplying the denominators to get 35.
Now, to simplify [tex]\frac{98}{35} * \frac{2}{7}[/tex] you first divide both the numerator and denominator by 7 to get [tex]\frac{14}{5} * \frac{2}{7}[/tex].
Finally, you can take 10 out of the numerator to make [tex]2\frac{4}{5} * \frac{2}{7}[/tex]
