Is 6/8 greater than 9/8?

To compare two fractions, such as 6/8 and 9/8, 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 6/8 and 9/8 share the same common denominator (8), the comparison is straightforward: we just have to check which numerator is the largest.

Since 6 is smaller than 8, we can conclude that 6/8 is less than 9/8.

2) Converting to decimal

We can also simply convert the fractions into decimal values:

  1. 6 divided by 8 is equal to 0.75
  2. 9 divided by 8 is equal to 1.125

Since 0.75 is smaller than 1.125, it means that 6/8 is less than 9/8.