Is 6/8 greater than 5/7?
To compare two fractions, such as 6/8 and 5/7, 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
- Multiply the numerator of the first fraction with the denominator of the second fraction: 6 × 7 = 42
- Multiply the numerator of the second fraction with the denominator of the first fraction 5 × 8 = 40
- Multiply the denominators of both fractions together: 8 × 7 = 56
- Rewrite both fractions with the new common denominator:
- 6/8 = 42/56
- 5/7 = 40/56
With a common denominator, the comparison becomes much simpler.
Since 42 is larger than 40, we can conclude that 6/8 is greater than 5/7.
2) Converting to decimal
We can also simply convert the fractions into decimal values:
- 6 divided by 8 is equal to 0.75
- 5 divided by 7 is equal to 0.71428571428571
Since 0.75 is larger than 0.71428571428571, it means that 6/8 is greater than 5/7.