Is 6/5 greater than 3/7?
To compare two fractions, such as 6/5 and 3/7, 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: 6 × 7 = 42
- Multiply the numerator of the second fraction with the denominator of the first fraction 3 × 5 = 15
- Multiply the denominators of both fractions together: 5 × 7 = 35
- Rewrite both fractions with the new common denominator:
- 6/5 = 42/35
- 3/7 = 15/35
With a common denominator, the comparison becomes much simpler.
Since 42 is larger than 15, we can conclude that 6/5 is greater than 3/7.
2) Converting to decimal
We can also simply convert the fractions into decimal values:
- 6 divided by 5 is equal to 1.2
- 3 divided by 7 is equal to 0.42857142857143
Since 1.2 is larger than 0.42857142857143, it means that 6/5 is greater than 3/7.