Is 7/2 greater than 2/7?
To compare two fractions, such as 7/2 and 2/7, 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 × 7 = 49
- Multiply the numerator of the second fraction with the denominator of the first fraction 2 × 2 = 4
- Multiply the denominators of both fractions together: 2 × 7 = 14
- Rewrite both fractions with the new common denominator:
- 7/2 = 49/14
- 2/7 = 4/14
With a common denominator, the comparison becomes much simpler.
Since 49 is larger than 4, we can conclude that 7/2 is greater than 2/7.
2) Converting to decimal
We can also simply convert the fractions into decimal values:
- 7 divided by 2 is equal to 3.5
- 2 divided by 7 is equal to 0.28571428571429
Since 3.5 is larger than 0.28571428571429, it means that 7/2 is greater than 2/7.