Is 8/7 greater than 3/7?

To compare two fractions, such as 8/7 and 3/7, 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 3/7 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 3/7.

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. 3 divided by 7 is equal to 0.42857142857143

Since 1.1428571428571 is larger than 0.42857142857143, it means that 8/7 is greater than 3/7.