Question

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

Answer 1

Answer:

2 : 3

6 : 9

10 : 15

12 : 18

Step-by-step 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

Answer:

3  || 3

6  || 9

9  || 15

12 || 21

In the first column, we see the numbers increasing by +3, serially.

In the second column, we see the numbers increasing by +6, serially.