Is 6/7 greater than 4/10?
To compare two fractions, such as 6/7 and 4/10, 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: 6 × 10 = 60
- Multiply the numerator of the second fraction with the denominator of the first fraction 4 × 7 = 28
- Multiply the denominators of both fractions together: 7 × 10 = 70
- Rewrite both fractions with the new common denominator:
- 6/7 = 60/70
- 4/10 = 28/70
With a common denominator, the comparison becomes much simpler.
Since 60 is larger than 28, we can conclude that 6/7 is greater than 4/10.
2) Converting to decimal
We can also simply convert the fractions into decimal values:
- 6 divided by 7 is equal to 0.85714285714286
- 4 divided by 10 is equal to 0.4
Since 0.85714285714286 is larger than 0.4, it means that 6/7 is greater than 4/10.