Question

State whether the following ratios are equivalent or not?
(a) 2 : 3 and 4 : 5

Answer 1

Answer:

No, 2 : 3 is not proportional to 4 : 5

Step-by-step explanation:

If 2 : 3 were to be proportional to any rational number x, then x would be (2*y : 3*y), where y is any number. but 4/5 is not in the form of (2*y : 3*y), so 4 : 5 is not proportional.

Numbers proportional to 2:3 will be 4 : 6, 6 : 9, etc., since

4 : 6 = 2*2 : 3*2, where y = 2

6 : 9 = 2*3 : 3*3, where y = 3

Answer 2

Given: 2 : 3 and 4 : 5

To find: State whether the following ratios are equivalent or not.

Solution:

When two ratios are written in the lowest form and are equal to one another then, it can be said that they are equivalent.

The ratio of 2:3 is already in its lowest form. This is because 2 and 3 cannot cancel each other to form any lower numbers. Similarly, 4:5 is also in its lowest form.

Since 2:3 and 4:5 do not match each other or are not equal to one another, they are not equivalent.

Therefore, the following ratios are not equivalent.