Equal Ratio
Lesson
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A ratio is the comparing of two quantities.

A proportion is an equation with a ratio on one side and an equal ratio on the other.

2/5 = 4/10 is an example of a proportion

Finding equal ratios

One way is to use multiplication.

Multiply each term by the same nonzero number will give an equal ratio.

3 x 2  =   6      3 x 3  =  9         3 x 4 = 12
4 x 2       8       4 x 3    12         4 x 4    16

So, 3      6     9      12
      4 ,    8 ,  12 ,   16  
are all equal ratios.

 

Another way is to use division.

Divide each term by the same nonzero number will give an equal ratio. Remember: when you divide you must select a number by which both terms are divisible.

6   2  =   3      6    3  =  2         6    6 = 1
12
2       6      12 3       4        12  6    2

So, 3      2      1
      6 ,    4 ,    2  
are all equal ratios.

 

Ratios can be written 
3 different ways


A ratio of
3 boy to 6 girls

can look like:

3 to 6

3 : 6

3 / 6

To create equal ratios for 3 : 6 just multiply or divide both terms by the same nonzero number. Remember: when you divide you must select a number by which both terms are divisible.

Multiply Divide

3 x 2 = 6
6 x 2 = 12

3 : 6 = 6 : 12

 

3/3 = 1
6/3 = 2

3 : 6 = 1 : 2

 

So, 1 : 2,  3 : 6,  and 6 : 12   are all equal ratios.

 

Example:

If there were 5 footballs and 2 baseballs

The ratio would be---
                     
 5 to 2

it could also look like
5 : 2    or    5 / 2

The number of footballs 
MUST BE
listed first

To create equal ratios for 5 : 2 just multiply or divide both terms by the same nonzero number. Remember: when you divide you must select a number by which both terms are divisible.

5 : 2, 10 : 4, and 15 : 6 are all equal ratios.

 

 
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