Question

Which of the following is an equivalent form of the mixed number -12?

45/4
-51/4
-48/4
-45/4

Answer 1

-48/4
Step by step explanation

Answer 2

-48/4

Explanation:

This is a case of basic division. Simply solve all mixed numbers by dividing their numerators by their denominators.

45 ÷ 4 = 11 1/4

-51 ÷ 4 = -12 3/4

-48 ÷ 4 = -12 (Correct!)

-45 ÷ 4 = 11 1/4

NOTE to increase efficiency:

Solving all of those one by one can be an annoying/tedious process (especially with larger denominators), so if you would like to solve the problem faster, first realize that in order to get -12, you need the solution to be an integer. Therefore, your eyes can scroll through the four mixed numbers and see if the numerator is a multiple of 4 and therefore understand if the outcome will be an integer or a fraction.