Is 5/7 greater than 9/7?

To compare two fractions, such as 5/7 and 9/7, 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 5/7 and 9/7 share the same common denominator (7), the comparison is straightforward: we just have to check which numerator is the largest.

Since 5 is smaller than 7, we can conclude that 5/7 is less than 9/7.

2) Converting to decimal

We can also simply convert the fractions into decimal values:

  1. 5 divided by 7 is equal to 0.71428571428571
  2. 9 divided by 7 is equal to 1.2857142857143

Since 0.71428571428571 is smaller than 1.2857142857143, it means that 5/7 is less than 9/7.