Is 4/7 greater than 6/5?
To compare two fractions, such as 4/7 and 6/5, 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: 4 × 5 = 20
- Multiply the numerator of the second fraction with the denominator of the first fraction 6 × 7 = 42
- Multiply the denominators of both fractions together: 7 × 5 = 35
- Rewrite both fractions with the new common denominator:
- 4/7 = 20/35
- 6/5 = 42/35
With a common denominator, the comparison becomes much simpler.
Since 20 is smaller than 42, we can conclude that 4/7 is less than 6/5.
2) Converting to decimal
We can also simply convert the fractions into decimal values:
- 4 divided by 7 is equal to 0.57142857142857
- 6 divided by 5 is equal to 1.2
Since 0.57142857142857 is smaller than 1.2, it means that 4/7 is less than 6/5.