Is 4/6 greater than 7/7?
To compare two fractions, such as 4/6 and 7/7, 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: 4 × 7 = 28
- Multiply the numerator of the second fraction with the denominator of the first fraction 7 × 6 = 42
- Multiply the denominators of both fractions together: 6 × 7 = 42
- Rewrite both fractions with the new common denominator:
- 4/6 = 28/42
- 7/7 = 42/42
With a common denominator, the comparison becomes much simpler.
Since 28 is smaller than 42, we can conclude that 4/6 is less than 7/7.
2) Converting to decimal
We can also simply convert the fractions into decimal values:
- 4 divided by 6 is equal to 0.66666666666667
- 7 divided by 7 is equal to 1
Since 0.66666666666667 is smaller than 1, it means that 4/6 is less than 7/7.