Question

You are comparing apples to oranges in a fruit bowl. Is the ratio 2:3 the same as the ratio 3:2?

Answer 1

Answer:

No, the two ratios are not the same.

Step-by-step explanation:

When we are saying "apples to oranges", mathematically it means:

$\frac{Apples}{Oranges}$,

Which could be 2:3 or 3:2, which in fractional from are written as $\frac{2}{3}$ and $\frac{3}{2}$ respectively.

We see that

$\frac{2}{3} \neq \frac{3}{20}.$

In words the ratio 2:3  says "for every two apples there are three oranges", and 3:2 says "for every three apples there are two oranges". Again we see that  the two sentences are not saying the same thing, therefore the ratio 2:3 is not same as 3:2.