Is 3/6 greater than 5/7?
To compare two fractions, such as 3/6 and 5/7, 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: 3 × 7 = 21
- Multiply the numerator of the second fraction with the denominator of the first fraction 5 × 6 = 30
- Multiply the denominators of both fractions together: 6 × 7 = 42
- Rewrite both fractions with the new common denominator:
- 3/6 = 21/42
- 5/7 = 30/42
With a common denominator, the comparison becomes much simpler.
Since 21 is smaller than 30, we can conclude that 3/6 is less than 5/7.
2) Converting to decimal
We can also simply convert the fractions into decimal values:
- 3 divided by 6 is equal to 0.5
- 5 divided by 7 is equal to 0.71428571428571
Since 0.5 is smaller than 0.71428571428571, it means that 3/6 is less than 5/7.