Is 3/1 greater than 9/8?
To compare two fractions, such as 3/1 and 9/8, 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: 3 × 8 = 24
- Multiply the numerator of the second fraction with the denominator of the first fraction 9 × 1 = 9
- Multiply the denominators of both fractions together: 1 × 8 = 8
- Rewrite both fractions with the new common denominator:
- 3/1 = 24/8
- 9/8 = 9/8
With a common denominator, the comparison becomes much simpler.
Since 24 is larger than 9, we can conclude that 3/1 is greater than 9/8.
2) Converting to decimal
We can also simply convert the fractions into decimal values:
- 3 divided by 1 is equal to 3
- 9 divided by 8 is equal to 1.125
Since 3 is larger than 1.125, it means that 3/1 is greater than 9/8.