Question

Hey im studying for a math test but im not sure if im ready yet. Help?

which ratio forms a proportion?

4 over 12, 6 over 8

16 over 12, 3 over 4

3 over 2, 15 over 14

10 over 16, 5 over 8

can you help me and show me how?

Answer 1

Wait, are these fractions?

Answer 2

yeah

Answer 3

Note that a proportion is a statement that two ratios are equivalent to each other. Two ratios form a proportion if their cross products are equal.

Answer 4

Let's use for example, the following.

\[\frac{ 3 }{ 5 } ~and~ \frac{ 6 }{ 10 }\]

Answer 5

To solve that, you want to compare the two cross products. Multiply the numerator of one fraction and the denominator of the other.

So it will be setup like this:

3 × 10 = 5 × 6, is that true or false?

Well, 3 × 10 = 30 and 5 × 6 = 30

So 30 = 30.

The question was "Do these ratios form a proportion?" the correct answer for this example is, yes.


You see now? :)

Answer 6

yeah i think so

Answer 7

Okay, so let's set it up like so... \[\frac{ 4 }{ 12 }~and~\frac{ 6 }{ 8 }\]

Now what would we multiply to solve that?

Answer 8

Okay Well, I got to go. I hope I assisted you.