Is 7/6 greater than 8/8?
To compare two fractions, such as 7/6 and 8/8, 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: 7 × 8 = 56
- Multiply the numerator of the second fraction with the denominator of the first fraction 8 × 6 = 48
- Multiply the denominators of both fractions together: 6 × 8 = 48
- Rewrite both fractions with the new common denominator:
- 7/6 = 56/48
- 8/8 = 48/48
With a common denominator, the comparison becomes much simpler.
Since 56 is larger than 48, we can conclude that 7/6 is greater than 8/8.
2) Converting to decimal
We can also simply convert the fractions into decimal values:
- 7 divided by 6 is equal to 1.1666666666667
- 8 divided by 8 is equal to 1
Since 1.1666666666667 is larger than 1, it means that 7/6 is greater than 8/8.