Is 2/6 greater than 2/3?
To compare two fractions, such as 2/6 and 2/3, 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 × 3 = 6
- Multiply the numerator of the second fraction with the denominator of the first fraction 2 × 6 = 12
- Multiply the denominators of both fractions together: 6 × 3 = 18
- Rewrite both fractions with the new common denominator:
- 2/6 = 6/18
- 2/3 = 12/18
With a common denominator, the comparison becomes much simpler.
Since 6 is smaller than 12, we can conclude that 2/6 is less than 2/3.
2) Converting to decimal
We can also simply convert the fractions into decimal values:
- 2 divided by 6 is equal to 0.33333333333333
- 2 divided by 3 is equal to 0.66666666666667
Since 0.33333333333333 is smaller than 0.66666666666667, it means that 2/6 is less than 2/3.