What is between 1/3 and 1/4.

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The number line is smooth and continuous. Therefore between any two points on the number line there can be found an infinite number of other points.

If one of the points on the number line is labelled as `1/3` and the other `1/4` , there must be an infinite number of values which can lie between them.

If one wishes to know the midpoint between the two point, you would get the two fractions over a common denominator, add them together, and then divide by two:

`1/3 = 4/12` , `1/4 = 3/12`

`(4/12 + 3/12)*1/2 = 7/24`

However, one needs to remember that this is just one of an infinite number of choices for numbers between 1/3 and 1/4. (Parenthetically, there must be an infinite number of points between 1/3 and 7/24 as well.)

Well, a lot of fractions are between 1/3 and 1/4, but I'll give you some examples.

3/10

3/11

5/16

7/25

7/24 (that's right in the middle)

9/35

7/26

5/17

Hope that helps!

7/25 is between 1/3 and 1/4

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