Question

Why would it be appropriate to express

a ratio of 7 to 9 but not a ratio of

7 to 14? EXPLAIN PLEASE ＞﹏＜!

Answer 1

It is appropriate to express a ratio of 7 to 9 but not a ratio of 7 to 14 because the ratio of 7 to 9 is in its simplest form, while the ratio of 7 to 14 can be simplified further.

A ratio is a comparison of two quantities using division and is usually expressed in the form of a fraction. For example, the ratio of 7 to 9 can be expressed as 7/9. This ratio cannot be simplified any further because 7 and 9 have no common factors other than 1.

On the other hand, the ratio of 7 to 14 can be simplified because 7 and 14 have a common factor of 7. We can divide both the numerator and denominator by 7 to obtain:

7/14 = 1/2

Therefore, it is not appropriate to express a ratio of 7 to 14 because it can be simplified further. It is more appropriate to express the ratio of 7 to 9 because it is already in its simplest form. When expressing a ratio, it is important to simplify it as much as possible to make it easier to understand and work with.

Answer 2

A ratio of 7:14 reduces to 1/2.

Explanation:

A ratio of 7:9 cannot be reduced because both 7 and 9 are prime and only divisible by 1. The ratio 7:14 has a common divisor of 7 so it reduces to 1:2