Question

Enter the missing numbers in the boxes to complete the table of equivalent ratios.

? 3
6 9
? 15
12 ?

Please help quick :D

Answer 1

2 : 3

6 : 9

10 : 15

12 : 18

Explanation:

Equivalent ratios are ratios that have the same proportion to each other when put in simplest form. Two ratios are considered equivalent if one can be expressed as a multiple of the other.

Therefore, ? : 3 = 6 : 9 = ? : 15 = 12 : ?

Or, ? / 3 = 6 / 9 = ? / 15 = 12 / ?

You have been given one complete ratio: 6 : 9 or 6 / 9

Therefore, from this, you can determine the other equivalent ratios by working out the multiples.

? / 3 = 6 / 9

To get from 3 to 9, the denominator has been multiplied by 3, therefore divide 6 by 3 to find ?

Answer 2

2 : 3

6 : 9

10 : 15

12 : 18

Given complete row:

`\rightarrow 6:9`

make it in simplest form:

`\rightarrow 2 : 3`

`\rightarrow 1 : 1.5`

now solve for others:

1st row:

`\sf \rightarrow (3)/(1.5) :3`

`\sf \rightarrow 2:3`

2nd row:

`\sf \rightarrow 6:9`

3rd row:

`\sf \rightarrow (15)/(1.5) :15`

`\sf \rightarrow 10 :15`

4th row:

`\sf \rightarrow 12 : 12*1.5`

`\sf \rightarrow 12 :18`