Let's say we have the fraction 2/9.
We can split this one fraction into two by modifying the numerator, like so: 2/9 = 1/9 + 1/9
This
works because since both fractions have a numerator of 9, you can
easily add the numerators to give 2, and that will give 2/9 in return.
However, you can't separate the denominators.
2/9 is NOT equal to 2/6 + 2/3
2/9 = 1/9 + 1/9
2/9 = 0.5/9 + 1.5/9 (which simplifies to 1/18 + 3/18, also giving 2/9)
2/9 = 0.5/9 + 0.5/9 + 0.5/9 + 0.5/9 = 1/18 + 1/18 + 1/18 + 1/18
I basically split it up into more and more fractions that add up to give
2/9. So, in short, there are infinitely many ways to do it.
