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