Is 4/7 greater than 5/9?
To compare two fractions, such as 4/7 and 5/9, 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 5 × 7 = 35
- Multiply the denominators of both fractions together: 7 × 9 = 63
- Rewrite both fractions with the new common denominator:
- 4/7 = 36/63
- 5/9 = 35/63
With a common denominator, the comparison becomes much simpler.
Since 36 is larger than 35, we can conclude that 4/7 is greater than 5/9.
2) Converting to decimal
We can also simply convert the fractions into decimal values:
- 4 divided by 7 is equal to 0.57142857142857
- 5 divided by 9 is equal to 0.55555555555556
Since 0.57142857142857 is larger than 0.55555555555556, it means that 4/7 is greater than 5/9.