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

Answer:

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:

$\sf \rightarrow \frac{3}{1.5} :3$

$\sf \rightarrow 2:3$

2nd row:

$\sf \rightarrow 6:9$

3rd row:

$\sf \rightarrow \frac{15}{1.5} :15$

$\sf \rightarrow 10 :15$

4th row:

$\sf \rightarrow 12 : 12*1.5$

$\sf \rightarrow 12 :18$

Answer 2

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 ?