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A rational number is any number you can express as a fraction, a/b.

On a number line:

< ------- 0 1 2 3 [fractions here ] 4 --->

You're being asked to find 6 fractions between 3 and 4. (Larger than 3 but smaller than 4)

Let's list some fractions = 3.

3/1

6/2

9/3

12/4

15/5

18/6

Fractions = 4.

4/1

8/2

12/3

16/4

20/5

24/6

Fractions BETWEEN these could include (bolded):

6/2 7/2 8/2

9/3 10/3 11/3 12/3

12/4 13/4 14/4 15/4 16/4

15/5 16/5 17/5 18/5 19/5 20/5

18/6 19/6 20/6 21/6 22/6 23/6 24/6

Remember to simplify your fractions, some of them are the same! (ex: 14/4 = 7/2)

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Q: Find six rational numbers between 3 and 4?
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