Question

How do you simplify the ratio `4:16` divided by the ratio `3:4`?

Answer 1

`4:16"/"3:4 = color(green)(1:3)`

Explanation:

Note that the following ratios can be written in fraction form:
`color(white)("XXX")4:16 = 4/16`
`color(white)("XXX")3:4=3/4`

Also remember that division it the same as multiplication by the inverse.

`4:16/3:4 = 4/16 xx 4/3 = cancel(4xx4)/(cancel(16)xx3)=1/3`

or back into standard ratio form `1:3`