Is 7/3 greater than 5/5?
To compare two fractions, such as 7/3 and 5/5, 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 5 × 3 = 15
- Multiply the denominators of both fractions together: 3 × 5 = 15
- Rewrite both fractions with the new common denominator:
- 7/3 = 35/15
- 5/5 = 15/15
With a common denominator, the comparison becomes much simpler.
Since 35 is larger than 15, we can conclude that 7/3 is greater than 5/5.
2) Converting to decimal
We can also simply convert the fractions into decimal values:
- 7 divided by 3 is equal to 2.3333333333333
- 5 divided by 5 is equal to 1
Since 2.3333333333333 is larger than 1, it means that 7/3 is greater than 5/5.