Is 4/10 greater than 7/10?

To compare two fractions, such as 4/10 and 7/10, 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 4/10 and 7/10 share the same common denominator (10), the comparison is straightforward: we just have to check which numerator is the largest.

Since 4 is smaller than 10, we can conclude that 4/10 is less than 7/10.

2) Converting to decimal

We can also simply convert the fractions into decimal values:

  1. 4 divided by 10 is equal to 0.4
  2. 7 divided by 10 is equal to 0.7

Since 0.4 is smaller than 0.7, it means that 4/10 is less than 7/10.