Is 2/3 greater than 1/5?
To compare two fractions, such as 2/3 and 1/5, 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: 2 × 5 = 10
- Multiply the numerator of the second fraction with the denominator of the first fraction 1 × 3 = 3
- Multiply the denominators of both fractions together: 3 × 5 = 15
- Rewrite both fractions with the new common denominator:
- 2/3 = 10/15
- 1/5 = 3/15
With a common denominator, the comparison becomes much simpler.
Since 10 is larger than 3, we can conclude that 2/3 is greater than 1/5.
2) Converting to decimal
We can also simply convert the fractions into decimal values:
- 2 divided by 3 is equal to 0.66666666666667
- 1 divided by 5 is equal to 0.2
Since 0.66666666666667 is larger than 0.2, it means that 2/3 is greater than 1/5.