Is 10/2 greater than 4/7?
To compare two fractions, such as 10/2 and 4/7, 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: 10 × 7 = 70
- Multiply the numerator of the second fraction with the denominator of the first fraction 4 × 2 = 8
- Multiply the denominators of both fractions together: 2 × 7 = 14
- Rewrite both fractions with the new common denominator:
- 10/2 = 70/14
- 4/7 = 8/14
With a common denominator, the comparison becomes much simpler.
Since 70 is larger than 8, we can conclude that 10/2 is greater than 4/7.
2) Converting to decimal
We can also simply convert the fractions into decimal values:
- 10 divided by 2 is equal to 5
- 4 divided by 7 is equal to 0.57142857142857
Since 5 is larger than 0.57142857142857, it means that 10/2 is greater than 4/7.