Dividing fractions is the same as multiplying the inverse of the fraction (aka flipping fraction) you're dividing by. That means [tex] \frac{3}{10} \div \frac{4}{5} [/tex] is the same as [tex]\frac{3}{10} \times \frac{5}{4} [/tex].
Knowing this, now you can multiply and simplify:
[tex]\frac{3}{10} \times \frac{5}{4} \\
= \frac{15}{40} \\
= \frac{3}{8} [/tex]
Your answer is [tex] \frac{3}{8} [/tex].
