Is 7/4 greater than 1/4?

To compare two fractions, such as 7/4 and 1/4, 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 7/4 and 1/4 share the same common denominator (4), the comparison is straightforward: we just have to check which numerator is the largest.

Since 7 is larger than 4, we can conclude that 7/4 is greater than 1/4.

2) Converting to decimal

We can also simply convert the fractions into decimal values:

  1. 7 divided by 4 is equal to 1.75
  2. 1 divided by 4 is equal to 0.25

Since 1.75 is larger than 0.25, it means that 7/4 is greater than 1/4.