Question

What is 12/19 divided by 3/7?

Answer 1

`28/19` or `1 9/19`

Explanation:

Dividing by a fraction means multiplying by its multiplicative inverse or reciprocal.

Hence, when `a/b` is divided by `c/d`, it is equivalent to multiplying `a/b` by `d/c`, as `d/c` is multiplicative inverse or reciprocal of `c/d`.

Hence, when we divide `12/19` by `3/7`,

we mean multiplying `12/19` by `7/3` and hence

`12/19-:3/7=12/19xx7/3`

= `(4cancel12)/19xx7/(1cancel3)`

= `28/19` or `1 9/19`