-2/3, -0.5, -1.5, -4/9 Of the number listed above, which number is the greatest?
A. -0.5
B. -4/9
C. -1.5
D. -2/3
Before finding the greatest number from the data set, the numbers need to be in fraction form.
-0.5=-5/10
-1.5=-15/10
The set of numbers becomes -2/3, -5/10, -15/10, -4/9
Now the least common denominator for 3, 10, and 9 is 90, which will be used to multiplied by the given fractions as follows:
-2/3*90=-60
-5/10*90=-45
-15/10*90=-135
-4/9*90=-40
From the above evaluations, the resulting numbers arranged from the smallest to the largest is -135, -60, -45, -40. Thus, the greatest number from the data set is -40, with a corresponding fraction of -4/9.
Therefore, the Correct Answer is B.