Is 9/2 greater than 10/1?
To compare two fractions, such as 9/2 and 10/1, 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: 9 × 1 = 9
- Multiply the numerator of the second fraction with the denominator of the first fraction 10 × 2 = 20
- Multiply the denominators of both fractions together: 2 × 1 = 2
- Rewrite both fractions with the new common denominator:
- 9/2 = 9/2
- 10/1 = 20/2
With a common denominator, the comparison becomes much simpler.
Since 9 is smaller than 20, we can conclude that 9/2 is less than 10/1.
2) Converting to decimal
We can also simply convert the fractions into decimal values:
- 9 divided by 2 is equal to 4.5
- 10 divided by 1 is equal to 10
Since 4.5 is smaller than 10, it means that 9/2 is less than 10/1.