Is 9/8 greater than 5/8?

To compare two fractions, such as 9/8 and 5/8, 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 9/8 and 5/8 share the same common denominator (8), the comparison is straightforward: we just have to check which numerator is the largest.

Since 9 is larger than 8, we can conclude that 9/8 is greater than 5/8.

2) Converting to decimal

We can also simply convert the fractions into decimal values:

  1. 9 divided by 8 is equal to 1.125
  2. 5 divided by 8 is equal to 0.625

Since 1.125 is larger than 0.625, it means that 9/8 is greater than 5/8.