Is 3/7 greater than 7/7?

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

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

2) Converting to decimal

We can also simply convert the fractions into decimal values:

  1. 3 divided by 7 is equal to 0.42857142857143
  2. 7 divided by 7 is equal to 1

Since 0.42857142857143 is smaller than 1, it means that 3/7 is less than 7/7.