Is 3/7 greater than 6/6?
To compare two fractions, such as 3/7 and 6/6, 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 × 6 = 18
- 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 × 6 = 42
- Rewrite both fractions with the new common denominator:
- 3/7 = 18/42
- 6/6 = 42/42
With a common denominator, the comparison becomes much simpler.
Since 18 is smaller than 42, we can conclude that 3/7 is less than 6/6.
2) Converting to decimal
We can also simply convert the fractions into decimal values:
- 3 divided by 7 is equal to 0.42857142857143
- 6 divided by 6 is equal to 1
Since 0.42857142857143 is smaller than 1, it means that 3/7 is less than 6/6.