Is 1/7 greater than 3/5?
To compare two fractions, such as 1/7 and 3/5, 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 × 5 = 5
- 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 × 5 = 35
- Rewrite both fractions with the new common denominator:
- 1/7 = 5/35
- 3/5 = 21/35
With a common denominator, the comparison becomes much simpler.
Since 5 is smaller than 21, we can conclude that 1/7 is less than 3/5.
2) Converting to decimal
We can also simply convert the fractions into decimal values:
- 1 divided by 7 is equal to 0.14285714285714
- 3 divided by 5 is equal to 0.6
Since 0.14285714285714 is smaller than 0.6, it means that 1/7 is less than 3/5.