Is 1/6 greater than 7/6?

To compare two fractions, such as 1/6 and 7/6, 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 1/6 and 7/6 share the same common denominator (6), the comparison is straightforward: we just have to check which numerator is the largest.

Since 1 is smaller than 6, we can conclude that 1/6 is less than 7/6.

2) Converting to decimal

We can also simply convert the fractions into decimal values:

  1. 1 divided by 6 is equal to 0.16666666666667
  2. 7 divided by 6 is equal to 1.1666666666667

Since 0.16666666666667 is smaller than 1.1666666666667, it means that 1/6 is less than 7/6.