Hey there!
Let's first multiply 3/4 and 2/9. When we multiply fractions, we multiply the numerators and denominators, so we have:
3/4 times 2/9 = 6/36 = 1/6
Now, we have to compare 1/6 and 2/9. In order to do this, we can multiply them both by a version of one to get equivalent fractions with the same denominator. This is because anything times one is itself, but we can keep it as itself, just with a different denominator, as I said. The least common multiple of the denominators are 18, so we multiply:
1/6(3/3) --> (3/3 equals one) = 3/18
2/9(2/2) = 4/18
Now that we have the same denominator, we can compare the numerators to see that 2/9 is actually greater.
Hope this helps!
