Is 7/7 greater than 8/5?
To compare two fractions, such as 7/7 and 8/5, 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: 7 × 5 = 35
- Multiply the numerator of the second fraction with the denominator of the first fraction 8 × 7 = 56
- Multiply the denominators of both fractions together: 7 × 5 = 35
- Rewrite both fractions with the new common denominator:
- 7/7 = 35/35
- 8/5 = 56/35
With a common denominator, the comparison becomes much simpler.
Since 35 is smaller than 56, we can conclude that 7/7 is less than 8/5.
2) Converting to decimal
We can also simply convert the fractions into decimal values:
- 7 divided by 7 is equal to 1
- 8 divided by 5 is equal to 1.6
Since 1 is smaller than 1.6, it means that 7/7 is less than 8/5.