Is 3/6 greater than 4/9?
To compare two fractions, such as 3/6 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: 3 × 9 = 27
- Multiply the numerator of the second fraction with the denominator of the first fraction 4 × 6 = 24
- Multiply the denominators of both fractions together: 6 × 9 = 54
- Rewrite both fractions with the new common denominator:
- 3/6 = 27/54
- 4/9 = 24/54
With a common denominator, the comparison becomes much simpler.
Since 27 is larger than 24, we can conclude that 3/6 is greater than 4/9.
2) Converting to decimal
We can also simply convert the fractions into decimal values:
- 3 divided by 6 is equal to 0.5
- 4 divided by 9 is equal to 0.44444444444444
Since 0.5 is larger than 0.44444444444444, it means that 3/6 is greater than 4/9.