Is 4/7 greater than 7/1?
To compare two fractions, such as 4/7 and 7/1, 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: 4 × 1 = 4
- Multiply the numerator of the second fraction with the denominator of the first fraction 7 × 7 = 49
- Multiply the denominators of both fractions together: 7 × 1 = 7
- Rewrite both fractions with the new common denominator:
- 4/7 = 4/7
- 7/1 = 49/7
With a common denominator, the comparison becomes much simpler.
Since 4 is smaller than 49, we can conclude that 4/7 is less than 7/1.
2) Converting to decimal
We can also simply convert the fractions into decimal values:
- 4 divided by 7 is equal to 0.57142857142857
- 7 divided by 1 is equal to 7
Since 0.57142857142857 is smaller than 7, it means that 4/7 is less than 7/1.