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 need to first convert both numbers to improper fractions.

2 1/16 can be written as 33/16 (because 2 times 16 is 32 plus 1 is 33).
4 1/9 can be written as 37/9 (because 4 times 9 is 36 plus 1 is 37).

Now, we need to find a fraction between 33/16 and 37/9. One way to do this is to find a common denominator for the two fractions. The least common multiple between 16 and 9 is 144.

Multiplying both the numerator and denominator of 33/16 by 9, we get: 297/144
Multiplying both the numerator and denominator of 37/9 by 16, we get: 592/144

Therefore, a fractional number between 2 1/16 and 4 1/9 is 297/144.

what a lot of work!

3 is between 2 1/16 and 4 1/9
so how about 10/3?

Yes, you are correct. 3 is indeed between 2 1/16 and 4 1/9. In fact, any fraction between 2 and 4 would work. So, 10/3 is a valid option as well.