Is 9/2 greater than 3/2?

To compare two fractions, such as 9/2 and 3/2, there are two main common methods: the first one involves finding a common denominator, and the other one is to convert the fractions directly into decimal values.

1) Using the same denominator

Given that 9/2 and 3/2 share the same common denominator (2), the comparison is straightforward: we just have to check which numerator is the largest.

Since 9 is larger than 2, we can conclude that 9/2 is greater than 3/2.

2) Converting to decimal

We can also simply convert the fractions into decimal values:

  1. 9 divided by 2 is equal to 4.5
  2. 3 divided by 2 is equal to 1.5

Since 4.5 is larger than 1.5, it means that 9/2 is greater than 3/2.