Is 10/3 greater than 6/3?

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

Since 10 is larger than 3, we can conclude that 10/3 is greater than 6/3.

2) Converting to decimal

We can also simply convert the fractions into decimal values:

  1. 10 divided by 3 is equal to 3.3333333333333
  2. 6 divided by 3 is equal to 2

Since 3.3333333333333 is larger than 2, it means that 10/3 is greater than 6/3.