\(\frac{3}{10}\) ÷ \(\frac{4}{5}\) equals \(\frac{3}{8}\).
First, apply this rule: a ÷ \(\frac{b}{c}\) = a × \(\frac{c}{b}\). Your problem should look like: \(\frac{3}{10}\) × \(\frac{5}{4}\).
Second, apply this rule: \(\frac{a}{b}\) × \(\frac{c}{d}\) = \(\frac{ac}{bd}\). Your problem should look like: \(\frac{3x5}{10x4}\).
Third, simplify 3 × 5 to get 15. Your problem should look like: \(\frac{15}{10x4}\).
Fourth, simplify 10 × 4 to get 40. Your problem should look like: \(\frac{15}{40}\).
Fifth, simplify. Your problem should look like: \(\frac{3}{8}\) which is the answer.
