Is 10/7 greater than 8/7?
To compare two fractions, such as 10/7 and 8/7, 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 8/7 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 8/7.
2) Converting to decimal
We can also simply convert the fractions into decimal values:
- 10 divided by 7 is equal to 1.4285714285714
- 8 divided by 7 is equal to 1.1428571428571
Since 1.4285714285714 is larger than 1.1428571428571, it means that 10/7 is greater than 8/7.