Question

What are 3 equivalent ratios for 12 to 9?

Answer 1

To find alternative ratios, you can divide both sides by a common factor (this will simplify it) or multiply them both by the same factor.

So, for `12:9`, we can divide both sides by `3`:

`12/3:9/3 = 4:3`

Or we can multiply both sides by any number, as long as it is the same for both:

e.g. by `2`

`12xx2:9xx2 = 24:18`

e.g. by `1 1/3`

`12xx 1 1/3: 9 xx 1 1/3 = 16:12`

So, three equivalent ratios (of the many possibilities) are:

`4:3`
`24:18`
`16:12`

Hope this helps; let me know if I can do anything else.