+3454 First we have to turn 3 1/2 into a improper fraction.
$$3\frac{1}{2} = \frac{(3\times2)+1}{2}=\frac{(6)+1}{2} = \frac{7}{2}$$
Now we have:
$$\frac{4}{5} \div \frac{7}{2}$$
When we divide two fractions, we change the division sign to a multiplication sign, and we flip the second fraction. You also might have heard this as, "When dividing two fractions, multiply by the recriprocal." These are both saying the same thing.
Now we have:
$$\frac{4}{5} \times \frac{2}{7}$$
$$\frac{4\times2}{5\times7}$$
$$\frac{8}{35}$$
This fraction can't be reduced, so our final answer is $$\frac{8}{35}$$
+3454 First we have to turn 3 1/2 into a improper fraction.
$$3\frac{1}{2} = \frac{(3\times2)+1}{2}=\frac{(6)+1}{2} = \frac{7}{2}$$
Now we have:
$$\frac{4}{5} \div \frac{7}{2}$$
When we divide two fractions, we change the division sign to a multiplication sign, and we flip the second fraction. You also might have heard this as, "When dividing two fractions, multiply by the recriprocal." These are both saying the same thing.
Now we have:
$$\frac{4}{5} \times \frac{2}{7}$$
$$\frac{4\times2}{5\times7}$$
$$\frac{8}{35}$$
This fraction can't be reduced, so our final answer is $$\frac{8}{35}$$
