Is 3/4 greater than 7/4?

To compare two fractions, such as 3/4 and 7/4, 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 3/4 and 7/4 share the same common denominator (4), the comparison is straightforward: we just have to check which numerator is the largest.

Since 3 is smaller than 4, we can conclude that 3/4 is less than 7/4.

2) Converting to decimal

We can also simply convert the fractions into decimal values:

  1. 3 divided by 4 is equal to 0.75
  2. 7 divided by 4 is equal to 1.75

Since 0.75 is smaller than 1.75, it means that 3/4 is less than 7/4.