Question

How do you find the quotient of 2/9 divided by 5/4?

Answer 1

`8/45`

Explanation:

Rewrite in fraction form: `(2/9)/(5/4)`

This fraction falls into the `a,b,c,d` pattern where when dividing 2 fractions: `(a/b)/(c/d)` you can rewrite the problem as:
`(a*d)/(b*c)` Now just plug in the original numbers in their form so you get:

`(2*4)/(9*5) -> 8/45`

OR you can use keep it, change it, flip it:
Keep it: `2/9`
Change it: `*`
Flip it: `4/5`
Then just multiply straight across to get : `8/45`