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