Is 9/8 greater than 3/9?
To compare two fractions, such as 9/8 and 3/9, 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: 9 × 9 = 81
- Multiply the numerator of the second fraction with the denominator of the first fraction 3 × 8 = 24
- Multiply the denominators of both fractions together: 8 × 9 = 72
- Rewrite both fractions with the new common denominator:
- 9/8 = 81/72
- 3/9 = 24/72
With a common denominator, the comparison becomes much simpler.
Since 81 is larger than 24, we can conclude that 9/8 is greater than 3/9.
2) Converting to decimal
We can also simply convert the fractions into decimal values:
- 9 divided by 8 is equal to 1.125
- 3 divided by 9 is equal to 0.33333333333333
Since 1.125 is larger than 0.33333333333333, it means that 9/8 is greater than 3/9.