Is 7/3 greater than 2/9?
To compare two fractions, such as 7/3 and 2/9, 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 2 × 3 = 6
- Multiply the denominators of both fractions together: 3 × 9 = 27
- Rewrite both fractions with the new common denominator:
- 7/3 = 63/27
- 2/9 = 6/27
With a common denominator, the comparison becomes much simpler.
Since 63 is larger than 6, we can conclude that 7/3 is greater than 2/9.
2) Converting to decimal
We can also simply convert the fractions into decimal values:
- 7 divided by 3 is equal to 2.3333333333333
- 2 divided by 9 is equal to 0.22222222222222
Since 2.3333333333333 is larger than 0.22222222222222, it means that 7/3 is greater than 2/9.