Question

Write in Simplest form 3 divided by 2/5

Answer 1

$\frac{3}{\frac{2}{5}}$

rewrite the expresion in the form of a division like this

$\frac{\frac{a}{b}}{\frac{c}{d}}=\frac{ad}{bc}$

in this case you can rewrite as

$\frac{\frac{3}{1}}{\frac{2}{5}}$

apply the definition from before

$\frac{\frac{3}{1}}{\frac{2}{5}}=\frac{3\cdot5}{1\cdot2}=\frac{15}{2}$

final answer

$\frac{15}{2}$