Answers:
Step-by-step explanation:
We must simplify each option to see if they are equivalent to [tex]-\frac{3}{8}[/tex].
Lets try A.
[tex]-\frac{6}{16}[/tex] can be simplified to [tex]-\frac{3}{8}[/tex] by dividing both the numerator and denominator by 3.
[tex]-\frac{6}{16}[/tex] ÷ [tex]\frac{3}{3} = -\frac{3}{8}[/tex]
A is correct!
Lets try B
[tex]\frac{12}{32}[/tex] simplifies to [tex]\frac{3}{8}[/tex]. However, because this answer is not negative, it is not equivalent.
Lets try C
There is a negative in the numerator, making this fraction negative. So yes, [tex]\frac{-3}{8} = -\frac{3}{8}[/tex].
- Bonus Info: If there was a negative in both the numerator and denominator, the two negatives would cancel eachother out, making the fraction positive
C is correct!
Lastly, Lets try D
There is a negative in the denominator, so this fraction is negative. [tex]\frac{9}{-24}[/tex] can be simplified by dividing by 3 to [tex]-\frac{3}{8}[/tex].
[tex]\frac{9}{-24}[/tex] ÷3 = [tex]-\frac{3}{8}[/tex]
D is correct!
