Is 7/9 greater than 4/10?
To compare two fractions, such as 7/9 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: 7 × 10 = 70
- Multiply the numerator of the second fraction with the denominator of the first fraction 4 × 9 = 36
- Multiply the denominators of both fractions together: 9 × 10 = 90
- Rewrite both fractions with the new common denominator:
- 7/9 = 70/90
- 4/10 = 36/90
With a common denominator, the comparison becomes much simpler.
Since 70 is larger than 36, we can conclude that 7/9 is greater than 4/10.
2) Converting to decimal
We can also simply convert the fractions into decimal values:
- 7 divided by 9 is equal to 0.77777777777778
- 4 divided by 10 is equal to 0.4
Since 0.77777777777778 is larger than 0.4, it means that 7/9 is greater than 4/10.