Is 7/1 greater than 9/4?
To compare two fractions, such as 7/1 and 9/4, 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 × 4 = 28
- 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 × 4 = 4
- Rewrite both fractions with the new common denominator:
- 7/1 = 28/4
- 9/4 = 9/4
With a common denominator, the comparison becomes much simpler.
Since 28 is larger than 9, we can conclude that 7/1 is greater than 9/4.
2) Converting to decimal
We can also simply convert the fractions into decimal values:
- 7 divided by 1 is equal to 7
- 9 divided by 4 is equal to 2.25
Since 7 is larger than 2.25, it means that 7/1 is greater than 9/4.