Is 8/3 greater than 2/3?

To compare two fractions, such as 8/3 and 2/3, 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 8/3 and 2/3 share the same common denominator (3), the comparison is straightforward: we just have to check which numerator is the largest.

Since 8 is larger than 3, we can conclude that 8/3 is greater than 2/3.

2) Converting to decimal

We can also simply convert the fractions into decimal values:

  1. 8 divided by 3 is equal to 2.6666666666667
  2. 2 divided by 3 is equal to 0.66666666666667

Since 2.6666666666667 is larger than 0.66666666666667, it means that 8/3 is greater than 2/3.