Is 7/2 greater than 1/4?
To compare two fractions, such as 7/2 and 1/4, 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: 7 × 4 = 28
- Multiply the numerator of the second fraction with the denominator of the first fraction 1 × 2 = 2
- Multiply the denominators of both fractions together: 2 × 4 = 8
- Rewrite both fractions with the new common denominator:
- 7/2 = 28/8
- 1/4 = 2/8
With a common denominator, the comparison becomes much simpler.
Since 28 is larger than 2, we can conclude that 7/2 is greater than 1/4.
2) Converting to decimal
We can also simply convert the fractions into decimal values:
- 7 divided by 2 is equal to 3.5
- 1 divided by 4 is equal to 0.25
Since 3.5 is larger than 0.25, it means that 7/2 is greater than 1/4.