Is 8/7 greater than 2/1?
To compare two fractions, such as 8/7 and 2/1, 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
- Multiply the numerator of the first fraction with the denominator of the second fraction: 8 × 1 = 8
- Multiply the numerator of the second fraction with the denominator of the first fraction 2 × 7 = 14
- Multiply the denominators of both fractions together: 7 × 1 = 7
- Rewrite both fractions with the new common denominator:
- 8/7 = 8/7
- 2/1 = 14/7
With a common denominator, the comparison becomes much simpler.
Since 8 is smaller than 14, we can conclude that 8/7 is less than 2/1.
2) Converting to decimal
We can also simply convert the fractions into decimal values:
- 8 divided by 7 is equal to 1.1428571428571
- 2 divided by 1 is equal to 2
Since 1.1428571428571 is smaller than 2, it means that 8/7 is less than 2/1.