What are 3 equivalent ratios for 12 to 9?

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Answer 1 · 2016-03-29T18:46:56

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 $12 : 9$ $12:9$ , we can divide both sides by $3$ $3$ :

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

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

e.g. by $2$ $2$

$12 \times 2 : 9 \times 2 = 24 : 18$ $12xx2:9xx2 = 24:18$

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

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

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

$4 : 3$ $4:3$
$24 : 18$ $24:18$
$16 : 12$ $16:12$

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