Find a fractional number between 2 1/16 and 4 1/9

To find a fractional number between 2 1/16 and 4 1/9, we can find a common denominator and then find a number between the two fractions.

The common denominator for 16 and 9 is 144.

So, 2 1/16 can be written as (2 * 144 + 1)/144 = 289/144.

And, 4 1/9 can be written as (4 * 144 + 1)/144 = 577/144.

Now, we need to find a fractional number between 289/144 and 577/144.

We can take the average of these two fractions:

(289/144 + 577/144)/2 = 866/144 = 433/72.

Therefore, a fractional number between 2 1/16 and 4 1/9 is 433/72.