Is 10/7 greater than 3/1?
To compare two fractions, such as 10/7 and 3/1, 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: 10 × 1 = 10
- Multiply the numerator of the second fraction with the denominator of the first fraction 3 × 7 = 21
- Multiply the denominators of both fractions together: 7 × 1 = 7
- Rewrite both fractions with the new common denominator:
- 10/7 = 10/7
- 3/1 = 21/7
With a common denominator, the comparison becomes much simpler.
Since 10 is smaller than 21, we can conclude that 10/7 is less than 3/1.
2) Converting to decimal
We can also simply convert the fractions into decimal values:
- 10 divided by 7 is equal to 1.4285714285714
- 3 divided by 1 is equal to 3
Since 1.4285714285714 is smaller than 3, it means that 10/7 is less than 3/1.