Is 1/7 greater than 5/7?

To compare two fractions, such as 1/7 and 5/7, 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 1/7 and 5/7 share the same common denominator (7), the comparison is straightforward: we just have to check which numerator is the largest.

Since 1 is smaller than 7, we can conclude that 1/7 is less than 5/7.

2) Converting to decimal

We can also simply convert the fractions into decimal values:

  1. 1 divided by 7 is equal to 0.14285714285714
  2. 5 divided by 7 is equal to 0.71428571428571

Since 0.14285714285714 is smaller than 0.71428571428571, it means that 1/7 is less than 5/7.