Question

How do you simplify `2/3 div 5/12`?

Answer 1

`8/5`

Explanation:

`2/3 -: 5/12`

Dividing something is the same as multiplying it by its reciprocal. That means instead of doing `-: 5/12` we can rewrite it as `* 12/5`

`2/3 * 12/5`

`2/(cancel(3)1) * (cancel(12)4)/5`

`8/5`

Hope this helps!

Answer 2

`1 3/5`

Explanation:

`2/3 -: 5/12`
Substitute the `-:` sign by `xx` sign and reverse the fraction (reciprocal)
`2/3 xx 12/5`
`2/cancel3 xx (4 cancel12)/5`
`8/5`
`rArr 1 3/5`

Hope this helps :)