Equal Ratio Lesson Topic Index | Grade 6 Math | Intermediate Test Prep | StudyZone

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 / 2The 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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