Is 2/9 greater than 7/6?
To compare two fractions, such as 2/9 and 7/6, 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: 2 × 6 = 12
- Multiply the numerator of the second fraction with the denominator of the first fraction 7 × 9 = 63
- Multiply the denominators of both fractions together: 9 × 6 = 54
- Rewrite both fractions with the new common denominator:
- 2/9 = 12/54
- 7/6 = 63/54
With a common denominator, the comparison becomes much simpler.
Since 12 is smaller than 63, we can conclude that 2/9 is less than 7/6.
2) Converting to decimal
We can also simply convert the fractions into decimal values:
- 2 divided by 9 is equal to 0.22222222222222
- 7 divided by 6 is equal to 1.1666666666667
Since 0.22222222222222 is smaller than 1.1666666666667, it means that 2/9 is less than 7/6.