Can we compare fractions with same numerator and different denominator

Question

If we are given the 2 fractions

4/7 and 5/7

5/7 is greater

What if we had

1/8 and 1/9

Can I say that the fraction with a greater denominator is less

Answer 1

Yes, you can. The argument goes as follows: Start with the fact that $9>8$. Dividing by $8$ on both sides gives us $9/8>1$. Dividing by $9$ on both sides gives us $1/8>1/9$.