Is 7/5 greater than 10/9?
To compare two fractions, such as 7/5 and 10/9, 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: 7 × 9 = 63
- 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 × 9 = 45
- Rewrite both fractions with the new common denominator:
- 7/5 = 63/45
- 10/9 = 50/45
With a common denominator, the comparison becomes much simpler.
Since 63 is larger than 50, we can conclude that 7/5 is greater than 10/9.
2) Converting to decimal
We can also simply convert the fractions into decimal values:
- 7 divided by 5 is equal to 1.4
- 10 divided by 9 is equal to 1.1111111111111
Since 1.4 is larger than 1.1111111111111, it means that 7/5 is greater than 10/9.