# What are 3 equivalent ratios for 12 to 9?

##### 1 Answer
Mar 29, 2016

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 $3$:

$\frac{12}{3} : \frac{9}{3} = 4 : 3$

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

e.g. by $2$

$12 \times 2 : 9 \times 2 = 24 : 18$

e.g. by $1 \frac{1}{3}$

$12 \times 1 \frac{1}{3} : 9 \times 1 \frac{1}{3} = 16 : 12$

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.