Is 4/7 greater than 8/7?

To compare two fractions, such as 4/7 and 8/7, 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 4/7 and 8/7 share the same common denominator (7), the comparison is straightforward: we just have to check which numerator is the largest.

Since 4 is smaller than 7, we can conclude that 4/7 is less than 8/7.

2) Converting to decimal

We can also simply convert the fractions into decimal values:

  1. 4 divided by 7 is equal to 0.57142857142857
  2. 8 divided by 7 is equal to 1.1428571428571

Since 0.57142857142857 is smaller than 1.1428571428571, it means that 4/7 is less than 8/7.