Is 10/2 greater than 2/4?
To compare two fractions, such as 10/2 and 2/4, 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: 10 × 4 = 40
- 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 × 4 = 8
- Rewrite both fractions with the new common denominator:
- 10/2 = 40/8
- 2/4 = 4/8
With a common denominator, the comparison becomes much simpler.
Since 40 is larger than 4, we can conclude that 10/2 is greater than 2/4.
2) Converting to decimal
We can also simply convert the fractions into decimal values:
- 10 divided by 2 is equal to 5
- 2 divided by 4 is equal to 0.5
Since 5 is larger than 0.5, it means that 10/2 is greater than 2/4.