Is 9/4 greater than 2/8?
To compare two fractions, such as 9/4 and 2/8, 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 × 8 = 72
- Multiply the numerator of the second fraction with the denominator of the first fraction 2 × 4 = 8
- Multiply the denominators of both fractions together: 4 × 8 = 32
- Rewrite both fractions with the new common denominator:
- 9/4 = 72/32
- 2/8 = 8/32
With a common denominator, the comparison becomes much simpler.
Since 72 is larger than 8, we can conclude that 9/4 is greater than 2/8.
2) Converting to decimal
We can also simply convert the fractions into decimal values:
- 9 divided by 4 is equal to 2.25
- 2 divided by 8 is equal to 0.25
Since 2.25 is larger than 0.25, it means that 9/4 is greater than 2/8.