Is 2/7 greater than 6/7?

To compare two fractions, such as 2/7 and 6/7, 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 2/7 and 6/7 share the same common denominator (7), the comparison is straightforward: we just have to check which numerator is the largest.

Since 2 is smaller than 7, we can conclude that 2/7 is less than 6/7.

2) Converting to decimal

We can also simply convert the fractions into decimal values:

  1. 2 divided by 7 is equal to 0.28571428571429
  2. 6 divided by 7 is equal to 0.85714285714286

Since 0.28571428571429 is smaller than 0.85714285714286, it means that 2/7 is less than 6/7.