Is 8/7 greater than 2/7?

To compare two fractions, such as 8/7 and 2/7, 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 8/7 and 2/7 share the same common denominator (7), the comparison is straightforward: we just have to check which numerator is the largest.

Since 8 is larger than 7, we can conclude that 8/7 is greater than 2/7.

2) Converting to decimal

We can also simply convert the fractions into decimal values:

  1. 8 divided by 7 is equal to 1.1428571428571
  2. 2 divided by 7 is equal to 0.28571428571429

Since 1.1428571428571 is larger than 0.28571428571429, it means that 8/7 is greater than 2/7.