Is 9/7 greater than 5/3?
To compare two fractions, such as 9/7 and 5/3, 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: 9 × 3 = 27
- Multiply the numerator of the second fraction with the denominator of the first fraction 5 × 7 = 35
- Multiply the denominators of both fractions together: 7 × 3 = 21
- Rewrite both fractions with the new common denominator:
- 9/7 = 27/21
- 5/3 = 35/21
With a common denominator, the comparison becomes much simpler.
Since 27 is smaller than 35, we can conclude that 9/7 is less than 5/3.
2) Converting to decimal
We can also simply convert the fractions into decimal values:
- 9 divided by 7 is equal to 1.2857142857143
- 5 divided by 3 is equal to 1.6666666666667
Since 1.2857142857143 is smaller than 1.6666666666667, it means that 9/7 is less than 5/3.