Is 7/3 greater than 4/9?
To compare two fractions, such as 7/3 and 4/9, 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 × 9 = 63
- Multiply the numerator of the second fraction with the denominator of the first fraction 4 × 3 = 12
- Multiply the denominators of both fractions together: 3 × 9 = 27
- Rewrite both fractions with the new common denominator:
- 7/3 = 63/27
- 4/9 = 12/27
With a common denominator, the comparison becomes much simpler.
Since 63 is larger than 12, we can conclude that 7/3 is greater than 4/9.
2) Converting to decimal
We can also simply convert the fractions into decimal values:
- 7 divided by 3 is equal to 2.3333333333333
- 4 divided by 9 is equal to 0.44444444444444
Since 2.3333333333333 is larger than 0.44444444444444, it means that 7/3 is greater than 4/9.