# How do you determine whether the ratios are equivalent: 3/4, 24/32#?

See below for a couple of methods. (BTW, they are equal)

#### Explanation:

Does $\frac{3}{4} = \frac{24}{32}$? Let's find out.

We can do this in a few ways.

Method 1 - cross multiply and see if the two sides equal each other :

$32 \left(3\right) = 4 \left(24\right)$

$96 = 96$

Yes!

Method 2 - reduce the right side

$\frac{24}{32} = \frac{3 \times 8}{4 \times 8} = \frac{3}{4} \left(\frac{8}{8}\right) = \frac{3}{4} \left(1\right) = \frac{3}{4}$

Method 3 - work the left side

$\frac{3}{4} = \frac{3}{4} \left(1\right) = \frac{3}{4} \left(\frac{8}{8}\right) = \frac{24}{32}$