Is 2/3 greater than 7/3?

To compare two fractions, such as 2/3 and 7/3, 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 2/3 and 7/3 share the same common denominator (3), the comparison is straightforward: we just have to check which numerator is the largest.

Since 2 is smaller than 3, we can conclude that 2/3 is less than 7/3.

2) Converting to decimal

We can also simply convert the fractions into decimal values:

  1. 2 divided by 3 is equal to 0.66666666666667
  2. 7 divided by 3 is equal to 2.3333333333333

Since 0.66666666666667 is smaller than 2.3333333333333, it means that 2/3 is less than 7/3.