Question

Determine if either of the two ratio are
proportional, simplify each ratio to its lowest
terms
4
5
=
12
15

2
3
=
9
10

Answer 1

To determine if the ratios are proportional, we can check if the cross products are equal.

For the first ratio:

4/12 = 5/15
(4 * 15) = (5 * 12)
60 = 60

Since the cross products are equal, the first ratio is proportional.

For the second ratio:

2/9 = 3/10
(2 * 10) = (3 * 9)
20 = 27

Since the cross products are not equal, the second ratio is not proportional.

Now, let's simplify each ratio to its lowest terms:

For the first ratio:
4/12 can be simplified by dividing both the numerator and denominator by 4 to get 1/3.
5/15 can also be simplified by dividing both the numerator and denominator by 5 to get 1/3.
So, both fractions simplify to 1/3.

For the second ratio:
The ratio 2/9 is already in its lowest terms.
3/10 is also in its lowest terms.

Therefore, the simplified ratios are:
1/3
2/9