Is 7/6 greater than 4/1?
To compare two fractions, such as 7/6 and 4/1, 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 × 1 = 7
- Multiply the numerator of the second fraction with the denominator of the first fraction 4 × 6 = 24
- Multiply the denominators of both fractions together: 6 × 1 = 6
- Rewrite both fractions with the new common denominator:
- 7/6 = 7/6
- 4/1 = 24/6
With a common denominator, the comparison becomes much simpler.
Since 7 is smaller than 24, we can conclude that 7/6 is less than 4/1.
2) Converting to decimal
We can also simply convert the fractions into decimal values:
- 7 divided by 6 is equal to 1.1666666666667
- 4 divided by 1 is equal to 4
Since 1.1666666666667 is smaller than 4, it means that 7/6 is less than 4/1.