Respuesta :

Answer:Answer:

They are proportions, see explanation.

Explanation:

First, set them both equal to each other.

You can use the fact that two ratios form a proportion if simplified form of both the ratios comes out as same ratio.

Yes, the ratio 18/9 and 2/1 form a proportion.

When does two ratios form a proportion?

Two ratios form a proportion if simplified form of both the ratios comes out as same ratio.

Using above method to find out whether the given ratios are forming proportion or not

  • Simplifying first ratio:

To simplify a ratio, try finding a number(integer other than 1),such that both the numerator(upper sided number in ratio) and the denominator(lower sided number) get divided fully(no remainder).

The given ratio is 18/9

We see that we can divide both numerator and denominator by 9, thus

[tex]\dfrac{18}{9} = \dfrac{18/9}{9/9} = \dfrac{2}{1}[/tex]

  • Simplifying second ratio:

The given ratio is 2/1

There is no integer common in them except 1, thus it is already simplified.

Since both the ratios when simplified are same 2/1, thus, both form a proportion.

We can write it as:

[tex]18:9 :: 2:1[/tex]

Learn more about ratio and proportion here:

https://brainly.com/question/13513438