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 find a common denominator for the fractions 1/16 and 1/9.
The common denominator for 16 and 9 is 144.
Converting the fractions to have a denominator of 144:
2 1/16 = 2*(144/16) + 9/144 = 288/16 + 9/144 = 288/16 + 9/144 = 280/16 + 9/144 = 289/144
4 1/9 = 4*(144/9) + 16/144 = 576/9 + 16/144 = 576/9 + 16/144 = 576/9 + 16/144 = 640/144 + 16/144 = 656/144
As we can see, 289/144 is less than 656/144. Hence, a fraction between 2 1/16 and 4 1/9 is:
(289/144 + 656/144)/2 = 945/288
Therefore, the fractional number between 2 1/16 and 4 1/9 is 945/288.