Is 3/10 greater than 6/10?

To compare two fractions, such as 3/10 and 6/10, 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 3/10 and 6/10 share the same common denominator (10), the comparison is straightforward: we just have to check which numerator is the largest.

Since 3 is smaller than 10, we can conclude that 3/10 is less than 6/10.

2) Converting to decimal

We can also simply convert the fractions into decimal values:

  1. 3 divided by 10 is equal to 0.3
  2. 6 divided by 10 is equal to 0.6

Since 0.3 is smaller than 0.6, it means that 3/10 is less than 6/10.