Is 5/1 greater than 7/2?
To compare two fractions, such as 5/1 and 7/2, 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: 5 × 2 = 10
- Multiply the numerator of the second fraction with the denominator of the first fraction 7 × 1 = 7
- Multiply the denominators of both fractions together: 1 × 2 = 2
- Rewrite both fractions with the new common denominator:
- 5/1 = 10/2
- 7/2 = 7/2
With a common denominator, the comparison becomes much simpler.
Since 10 is larger than 7, we can conclude that 5/1 is greater than 7/2.
2) Converting to decimal
We can also simply convert the fractions into decimal values:
- 5 divided by 1 is equal to 5
- 7 divided by 2 is equal to 3.5
Since 5 is larger than 3.5, it means that 5/1 is greater than 7/2.