Is 8/5 greater than 2/5?

To compare two fractions, such as 8/5 and 2/5, 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 8/5 and 2/5 share the same common denominator (5), the comparison is straightforward: we just have to check which numerator is the largest.

Since 8 is larger than 5, we can conclude that 8/5 is greater than 2/5.

2) Converting to decimal

We can also simply convert the fractions into decimal values:

  1. 8 divided by 5 is equal to 1.6
  2. 2 divided by 5 is equal to 0.4

Since 1.6 is larger than 0.4, it means that 8/5 is greater than 2/5.