Is 1/9 greater than 9/10?
To compare two fractions, such as 1/9 and 9/10, 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 9 × 9 = 81
- Multiply the denominators of both fractions together: 9 × 10 = 90
- Rewrite both fractions with the new common denominator:
- 1/9 = 10/90
- 9/10 = 81/90
With a common denominator, the comparison becomes much simpler.
Since 10 is smaller than 81, we can conclude that 1/9 is less than 9/10.
2) Converting to decimal
We can also simply convert the fractions into decimal values:
- 1 divided by 9 is equal to 0.11111111111111
- 9 divided by 10 is equal to 0.9
Since 0.11111111111111 is smaller than 0.9, it means that 1/9 is less than 9/10.