Is 4/10 greater than 1/7?
To compare two fractions, such as 4/10 and 1/7, 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 1 × 10 = 10
- Multiply the denominators of both fractions together: 10 × 7 = 70
- Rewrite both fractions with the new common denominator:
- 4/10 = 28/70
- 1/7 = 10/70
With a common denominator, the comparison becomes much simpler.
Since 28 is larger than 10, we can conclude that 4/10 is greater than 1/7.
2) Converting to decimal
We can also simply convert the fractions into decimal values:
- 4 divided by 10 is equal to 0.4
- 1 divided by 7 is equal to 0.14285714285714
Since 0.4 is larger than 0.14285714285714, it means that 4/10 is greater than 1/7.