Is 9/4 greater than 3/4?

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

Since 9 is larger than 4, we can conclude that 9/4 is greater than 3/4.

2) Converting to decimal

We can also simply convert the fractions into decimal values:

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

Since 2.25 is larger than 0.75, it means that 9/4 is greater than 3/4.