Is 7/10 greater than 5/7?
To compare two fractions, such as 7/10 and 5/7, 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: 7 × 7 = 49
- Multiply the numerator of the second fraction with the denominator of the first fraction 5 × 10 = 50
- Multiply the denominators of both fractions together: 10 × 7 = 70
- Rewrite both fractions with the new common denominator:
- 7/10 = 49/70
- 5/7 = 50/70
With a common denominator, the comparison becomes much simpler.
Since 49 is smaller than 50, we can conclude that 7/10 is less than 5/7.
2) Converting to decimal
We can also simply convert the fractions into decimal values:
- 7 divided by 10 is equal to 0.7
- 5 divided by 7 is equal to 0.71428571428571
Since 0.7 is smaller than 0.71428571428571, it means that 7/10 is less than 5/7.