Is 1/5 greater than 10/10?
To compare two fractions, such as 1/5 and 10/10, 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 × 10 = 10
- 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 × 10 = 50
- Rewrite both fractions with the new common denominator:
- 1/5 = 10/50
- 10/10 = 50/50
With a common denominator, the comparison becomes much simpler.
Since 10 is smaller than 50, we can conclude that 1/5 is less than 10/10.
2) Converting to decimal
We can also simply convert the fractions into decimal values:
- 1 divided by 5 is equal to 0.2
- 10 divided by 10 is equal to 1
Since 0.2 is smaller than 1, it means that 1/5 is less than 10/10.