Is 1/4 greater than 9/8?
To compare two fractions, such as 1/4 and 9/8, 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: 1 × 8 = 8
- Multiply the numerator of the second fraction with the denominator of the first fraction 9 × 4 = 36
- Multiply the denominators of both fractions together: 4 × 8 = 32
- Rewrite both fractions with the new common denominator:
- 1/4 = 8/32
- 9/8 = 36/32
With a common denominator, the comparison becomes much simpler.
Since 8 is smaller than 36, we can conclude that 1/4 is less than 9/8.
2) Converting to decimal
We can also simply convert the fractions into decimal values:
- 1 divided by 4 is equal to 0.25
- 9 divided by 8 is equal to 1.125
Since 0.25 is smaller than 1.125, it means that 1/4 is less than 9/8.