Is 6/8 greater than 2/3?
To compare two fractions, such as 6/8 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: 6 × 3 = 18
- Multiply the numerator of the second fraction with the denominator of the first fraction 2 × 8 = 16
- Multiply the denominators of both fractions together: 8 × 3 = 24
- Rewrite both fractions with the new common denominator:
- 6/8 = 18/24
- 2/3 = 16/24
With a common denominator, the comparison becomes much simpler.
Since 18 is larger than 16, we can conclude that 6/8 is greater than 2/3.
2) Converting to decimal
We can also simply convert the fractions into decimal values:
- 6 divided by 8 is equal to 0.75
- 2 divided by 3 is equal to 0.66666666666667
Since 0.75 is larger than 0.66666666666667, it means that 6/8 is greater than 2/3.