Is 4/9 greater than 8/9?

To compare two fractions, such as 4/9 and 8/9, 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 4/9 and 8/9 share the same common denominator (9), the comparison is straightforward: we just have to check which numerator is the largest.

Since 4 is smaller than 9, we can conclude that 4/9 is less than 8/9.

2) Converting to decimal

We can also simply convert the fractions into decimal values:

  1. 4 divided by 9 is equal to 0.44444444444444
  2. 8 divided by 9 is equal to 0.88888888888889

Since 0.44444444444444 is smaller than 0.88888888888889, it means that 4/9 is less than 8/9.