Question

Do the ratios 18 7 and 2 1 form a proportion?

Answer 1

Hi!

There are a few ways we can do this. The first one is this:

The ratios 18:7 and 2:1 can be represented as fractions: $\frac{18}{7}$ and $\frac{2}{1}$

To see if they are proportions, we can put the fractions in their simplest form and see if they are equal. However, they are already simplified, and we can see that they are not equal.

Therefore they are not proportions.

The second way we can see is to use cross products. Once again we'll put them as fractions, except we'll set them side by side, like so:

$\frac{18}{7}$  $\frac{2}{1}$

To see if they are proportions, we simply multiply the diagonals. These would be 18 x 1 and 7 x 2 which equals 18 and 14. These are not equal.

Therefore they are not proportions.

Hope this helps! Have a great day! Let me know if you need any other help :D