Is 8/9 greater than 2/9?

To compare two fractions, such as 8/9 and 2/9, 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 8/9 and 2/9 share the same common denominator (9), the comparison is straightforward: we just have to check which numerator is the largest.

Since 8 is larger than 9, we can conclude that 8/9 is greater than 2/9.

2) Converting to decimal

We can also simply convert the fractions into decimal values:

  1. 8 divided by 9 is equal to 0.88888888888889
  2. 2 divided by 9 is equal to 0.22222222222222

Since 0.88888888888889 is larger than 0.22222222222222, it means that 8/9 is greater than 2/9.