Is 4/7 greater than 10/7?

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

Since 4 is smaller than 7, we can conclude that 4/7 is less than 10/7.

2) Converting to decimal

We can also simply convert the fractions into decimal values:

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

Since 0.57142857142857 is smaller than 1.4285714285714, it means that 4/7 is less than 10/7.