Is 3 sevenths greater than 4 ninths?

To determine if 3/7 is greater than 4/9, we need to find a common denominator. The least common multiple of 7 and 9 is 63. Converting 3/7 to have a denominator of 63 gives us 27/63, and converting 4/9 to have a denominator of 63 gives us 28/63. Comparing these fractions, we see that 28/63 (4/9) is indeed greater than 27/63 (3/7).