Answer:
-5/6
Explanation:
To figure out which one is greater, we need to convert them so they have a common denominator:
You can do this two ways, because 6 is a multiple of 3, we can just multiply the second fraction by 2:
x 2 =
![(-8)/(6) \\](https://img.qammunity.org/2023/formulas/mathematics/high-school/vqcu2217kvie9kfuzac6e0q0w214k5p575.png)
![(-5)/(6)](https://img.qammunity.org/2023/formulas/mathematics/high-school/4g6xpztunhvj8xebyd1574e8wxh71xp6yx.png)
The second way is multiplying both the fractions so they have a common denominator.
![(-5)/(6) = (-15)/(18)](https://img.qammunity.org/2023/formulas/mathematics/high-school/ydsaz1fec7dcetlqxex03tciw91vvz49to.png)
![(-4)/(3) = (-24)/(18)](https://img.qammunity.org/2023/formulas/mathematics/high-school/9w7nrt26m5lnuufd6hwkauzpboymw4hr1x.png)
Because the numbers are negative, -15 is the greater number.
Therefore,
is the greater fraction.