Is 3/10 greater than 6/3?
To compare two fractions, such as 3/10 and 6/3, 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 × 3 = 9
- Multiply the numerator of the second fraction with the denominator of the first fraction 6 × 10 = 60
- Multiply the denominators of both fractions together: 10 × 3 = 30
- Rewrite both fractions with the new common denominator:
- 3/10 = 9/30
- 6/3 = 60/30
With a common denominator, the comparison becomes much simpler.
Since 9 is smaller than 60, we can conclude that 3/10 is less than 6/3.
2) Converting to decimal
We can also simply convert the fractions into decimal values:
- 3 divided by 10 is equal to 0.3
- 6 divided by 3 is equal to 2
Since 0.3 is smaller than 2, it means that 3/10 is less than 6/3.