Is 3/7 greater than 6/7?
To compare two fractions, such as 3/7 and 6/7, 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 3/7 and 6/7 share the same common denominator (7), the comparison is straightforward: we just have to check which numerator is the largest.
Since 3 is smaller than 7, we can conclude that 3/7 is less than 6/7.
2) Converting to decimal
We can also simply convert the fractions into decimal values:
- 3 divided by 7 is equal to 0.42857142857143
- 6 divided by 7 is equal to 0.85714285714286
Since 0.42857142857143 is smaller than 0.85714285714286, it means that 3/7 is less than 6/7.