Is 4/3 greater than 6/9?
To compare two fractions, such as 4/3 and 6/9, 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: 4 × 9 = 36
- Multiply the numerator of the second fraction with the denominator of the first fraction 6 × 3 = 18
- Multiply the denominators of both fractions together: 3 × 9 = 27
- Rewrite both fractions with the new common denominator:
- 4/3 = 36/27
- 6/9 = 18/27
With a common denominator, the comparison becomes much simpler.
Since 36 is larger than 18, we can conclude that 4/3 is greater than 6/9.
2) Converting to decimal
We can also simply convert the fractions into decimal values:
- 4 divided by 3 is equal to 1.3333333333333
- 6 divided by 9 is equal to 0.66666666666667
Since 1.3333333333333 is larger than 0.66666666666667, it means that 4/3 is greater than 6/9.