Is 2/6 greater than 4/5?
To compare two fractions, such as 2/6 and 4/5, 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: 2 × 5 = 10
- Multiply the numerator of the second fraction with the denominator of the first fraction 4 × 6 = 24
- Multiply the denominators of both fractions together: 6 × 5 = 30
- Rewrite both fractions with the new common denominator:
- 2/6 = 10/30
- 4/5 = 24/30
With a common denominator, the comparison becomes much simpler.
Since 10 is smaller than 24, we can conclude that 2/6 is less than 4/5.
2) Converting to decimal
We can also simply convert the fractions into decimal values:
- 2 divided by 6 is equal to 0.33333333333333
- 4 divided by 5 is equal to 0.8
Since 0.33333333333333 is smaller than 0.8, it means that 2/6 is less than 4/5.