Is 3/4 greater than 9/4?

To compare two fractions, such as 3/4 and 9/4, 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 3/4 and 9/4 share the same common denominator (4), the comparison is straightforward: we just have to check which numerator is the largest.

Since 3 is smaller than 4, we can conclude that 3/4 is less than 9/4.

2) Converting to decimal

We can also simply convert the fractions into decimal values:

  1. 3 divided by 4 is equal to 0.75
  2. 9 divided by 4 is equal to 2.25

Since 0.75 is smaller than 2.25, it means that 3/4 is less than 9/4.