Is 1/5 greater than 3/6?
To compare two fractions, such as 1/5 and 3/6, 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 × 6 = 6
- Multiply the numerator of the second fraction with the denominator of the first fraction 3 × 5 = 15
- Multiply the denominators of both fractions together: 5 × 6 = 30
- Rewrite both fractions with the new common denominator:
- 1/5 = 6/30
- 3/6 = 15/30
With a common denominator, the comparison becomes much simpler.
Since 6 is smaller than 15, we can conclude that 1/5 is less than 3/6.
2) Converting to decimal
We can also simply convert the fractions into decimal values:
- 1 divided by 5 is equal to 0.2
- 3 divided by 6 is equal to 0.5
Since 0.2 is smaller than 0.5, it means that 1/5 is less than 3/6.