Is 2/5 greater than 7/5?

To compare two fractions, such as 2/5 and 7/5, 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 2/5 and 7/5 share the same common denominator (5), the comparison is straightforward: we just have to check which numerator is the largest.

Since 2 is smaller than 5, we can conclude that 2/5 is less than 7/5.

2) Converting to decimal

We can also simply convert the fractions into decimal values:

  1. 2 divided by 5 is equal to 0.4
  2. 7 divided by 5 is equal to 1.4

Since 0.4 is smaller than 1.4, it means that 2/5 is less than 7/5.