Is 10/7 greater than 4/7?

To compare two fractions, such as 10/7 and 4/7, 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 10/7 and 4/7 share the same common denominator (7), the comparison is straightforward: we just have to check which numerator is the largest.

Since 10 is larger than 7, we can conclude that 10/7 is greater than 4/7.

2) Converting to decimal

We can also simply convert the fractions into decimal values:

  1. 10 divided by 7 is equal to 1.4285714285714
  2. 4 divided by 7 is equal to 0.57142857142857

Since 1.4285714285714 is larger than 0.57142857142857, it means that 10/7 is greater than 4/7.