Is 1/3 greater than 6/5?
To compare two fractions, such as 1/3 and 6/5, 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: 1 × 5 = 5
- Multiply the numerator of the second fraction with the denominator of the first fraction 6 × 3 = 18
- Multiply the denominators of both fractions together: 3 × 5 = 15
- Rewrite both fractions with the new common denominator:
- 1/3 = 5/15
- 6/5 = 18/15
With a common denominator, the comparison becomes much simpler.
Since 5 is smaller than 18, we can conclude that 1/3 is less than 6/5.
2) Converting to decimal
We can also simply convert the fractions into decimal values:
- 1 divided by 3 is equal to 0.33333333333333
- 6 divided by 5 is equal to 1.2
Since 0.33333333333333 is smaller than 1.2, it means that 1/3 is less than 6/5.