Answer:
-5/6
Step-by-step 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:
[tex]\frac{-4}{3} \\[/tex] x 2 = [tex]\frac{-8}{6} \\[/tex]
[tex]\frac{-5}{6}[/tex]
The second way is multiplying both the fractions so they have a common denominator.
[tex]\frac{-5}{6} = \frac{-15}{18}[/tex]
[tex]\frac{-4}{3} = \frac{-24}{18}[/tex]
Because the numbers are negative, -15 is the greater number.
Therefore, [tex]\frac{-5}{6}[/tex] is the greater fraction.
