Question

Tell whether the ratios form a proportion. 30/75, 24/60

Answer 1

Given:

The ratios are
`(30)/(75)` and
`(24)/(60)`.

To find:

Whether the ratios form a proportion or not.

Solution:

If two ratios represent the same relationship then they form a proportion.

We have,

`(30)/(75)` and
`(24)/(60)`

Write the given ratios in the simplified forms.

`(30)/(75)=(15* 2)/(15* 5)`

`(30)/(75)=(2)/(5)`

And,

`(24)/(60)=(12* 2)/(12* 5)`

`(24)/(60)=(2)/(5)`

Since
`(30)/(75)=(24)/(60)=(2)/(5)`, therefore the ratios form a proportion.