Step 1. Apply this rule: a ÷ [tex] \frac{b}{c} =a* \frac{c}{b} [/tex]
[tex] \frac{4}{5} * \frac{10}{3} [/tex]
Step 2. Apply this rule: [tex] \frac{a}{b} * \frac{c}{d} = \frac{ac}{bd} [/tex]
[tex] \frac{4*10}{5*3} [/tex]
Step 3. Simplify 4 × 10 to 40
[tex] \frac{40}{5*3} [/tex]
Step 4. Simplify 5 × 3 to 15
[tex] \frac{40}{15} [/tex]
Step 5. Simplify
[tex] \frac{8}{3} [/tex]
Done!