Question

How do you solve `\frac{2}{5} \div \frac{3}{8}`?

Answer 1

`2/5-:3/8=16/15`

Explanation:

Dividing a fraction or any number by another fraction or number means multiplying by its mulltiplicative inverse.

Multiplicative inverse of a fraction `a/b` is `b/a` and hence dividing by `a/b` means multiplying by `b/a`.

As we have to divide `2/5` by `3/8`, this means multiplying `2/5` by `8/3`, hence

`2/5-:3/8=2/5xx8/3`

= `(2xx8)/(3xx5)`

= `16/15`