Question

I need some help with the question

Answer 1

To solve this you first need to turn your mixed numbers into improper fractions. to do this for $9 \frac{4}{5}$ 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 $\frac{49}{5}$.

You repeat this process with $3\frac{1}{2}$ to get $\frac{7}{2}$.

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 $\frac{49}{5} * \frac{2}{7}$

Then, you just multiply the fractions by multiplying the numerators to get 98 and multiplying the denominators to get 35.

Now, to simplify $\frac{98}{35} * \frac{2}{7}$ you first divide both the numerator and denominator by 7 to get $\frac{14}{5} * \frac{2}{7}$.

Finally, you can take 10 out of the numerator to make $2\frac{4}{5} * \frac{2}{7}$