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