Is 3/2 greater than 7/2?

To compare two fractions, such as 3/2 and 7/2, 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 3/2 and 7/2 share the same common denominator (2), the comparison is straightforward: we just have to check which numerator is the largest.

Since 3 is smaller than 2, we can conclude that 3/2 is less than 7/2.

2) Converting to decimal

We can also simply convert the fractions into decimal values:

  1. 3 divided by 2 is equal to 1.5
  2. 7 divided by 2 is equal to 3.5

Since 1.5 is smaller than 3.5, it means that 3/2 is less than 7/2.