Is 5/3 greater than 10/3?

To compare two fractions, such as 5/3 and 10/3, 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 5/3 and 10/3 share the same common denominator (3), the comparison is straightforward: we just have to check which numerator is the largest.

Since 5 is smaller than 3, we can conclude that 5/3 is less than 10/3.

2) Converting to decimal

We can also simply convert the fractions into decimal values:

  1. 5 divided by 3 is equal to 1.6666666666667
  2. 10 divided by 3 is equal to 3.3333333333333

Since 1.6666666666667 is smaller than 3.3333333333333, it means that 5/3 is less than 10/3.