When comparing the sizes of two or more fractions, you must first set the denominators of all fractions equal to each other by finding the Least Common Denominator (LCM). In this case, the LCM will be 6 because both 2 and 3, the denominators, are a factor of 6.

For 2/3: (2 * 2)/(3 * 2) = 4/6

For 3/2: (3 * 3)/(2 * 3) = 9/6

Now that you have the two fractions equal to the same denominator, compare their numerators to see which one is larger or smaller. In this problem, we can clearly see that 2/3 is not larger than 3/2 because the numerator for 4/6 is 4 and the numerator for 9/6 is 9, and 4 is less than 9.