Is 1 over 4 greater than 2 over 9?

Answer 1

If we see 1/4 and compare it to 2/9, we can rewrite both fractions with the same common denominator and compare them directly. The denominators 4 and 9 don't have common factors, so we just multiply them together to get 36, and then use that for a common denominator.

If we write 1/4 in 36ths, we have 9/36ths. If we write 2/9 in 36ths, we have 8/36ths. We see that 9/36 is larger than 8/36, so we know that 1/4 is greater than 2/9 is.