Question

Find the equivalent ratios of -1:2

Answer 1

You can find equivalent ratios by multiplying or dividing both terms of a ratio by the same number. This is similar to finding equivalent fractions of a given fraction. All the ratios in the tables below are equivalent.

The table below represent the equivalent ratios 1:3, 2:6, 3:9

1 3

2 6

3 9

The table below represent the equivalent ratios 1:4, 3:12, 5:20

1 4

3 12

5 20

Such tables of equivalent ratios can be used to find missing values as follows.

Example 1

Find the missing values in the following table of equivalent ratios:

3 10

6 x

9 30

y 40

Solution

Step 1:

Find the missing values in the following table of equivalent ratios :

x6=103;x=103×6=103×61=20

y40=310;y=310×40=310×401=12

Step 2:

So, x=9;y=28

Example 2

Find the missing values in the following table of equivalent ratios:

2 3

4 6

6 x

y 12

Solution

Step 1:

Since the table gives values of equivalent ratios

x6=32;x=32×61=32×61=9

y12=23;y=23×12=23×121=8

Step 2:

So, x=9;y=8