Is 3/5 greater than 10/8?
To compare two fractions, such as 3/5 and 10/8, 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: 3 × 8 = 24
- Multiply the numerator of the second fraction with the denominator of the first fraction 10 × 5 = 50
- Multiply the denominators of both fractions together: 5 × 8 = 40
- Rewrite both fractions with the new common denominator:
- 3/5 = 24/40
- 10/8 = 50/40
With a common denominator, the comparison becomes much simpler.
Since 24 is smaller than 50, we can conclude that 3/5 is less than 10/8.
2) Converting to decimal
We can also simply convert the fractions into decimal values:
- 3 divided by 5 is equal to 0.6
- 10 divided by 8 is equal to 1.25
Since 0.6 is smaller than 1.25, it means that 3/5 is less than 10/8.