Is 5/7 greater than 1/7?

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

Since 5 is larger than 7, we can conclude that 5/7 is greater than 1/7.

2) Converting to decimal

We can also simply convert the fractions into decimal values:

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

Since 0.71428571428571 is larger than 0.14285714285714, it means that 5/7 is greater than 1/7.