-1/3, -0.6, -1.5, -7/3. Of the numbers listed above, which number is the greatest?
A. -0.6
B. -7/3
C. -1/3
D. -1.5
To find the greatest value, we need to have uniform numbers. That is, all numbers must be in fraction for easy comparison. Therefore, we convert -0.6, and -1.5 into fractions as follows. For purposes of easy computation, we do not simplify the resulting fractions.
-0.6=-6/10
-1.5=-15/10
Now, the resulting fractions are -1/3, -6/10, -15/10, and -7/3. The greatest value is found by finding the LCM of the denominators and multiplying with each fraction. The LCM of 3 and 10 is 30. Then,
-1/3*30=-10
-6/10*30=-18
-15/10*30=-45
-7/3*30=-70
Based on the obtained values, -10 is the greatest value and -70 the least value. Therefore, -1/3 is the greatest of all the four options.
Therefore, the Correct Answer is C.
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