Is 7/6 greater than 3/6?

To compare two fractions, such as 7/6 and 3/6, 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 7/6 and 3/6 share the same common denominator (6), the comparison is straightforward: we just have to check which numerator is the largest.

Since 7 is larger than 6, we can conclude that 7/6 is greater than 3/6.

2) Converting to decimal

We can also simply convert the fractions into decimal values:

  1. 7 divided by 6 is equal to 1.1666666666667
  2. 3 divided by 6 is equal to 0.5

Since 1.1666666666667 is larger than 0.5, it means that 7/6 is greater than 3/6.