Multiply (1/2) (-1/4) Which of the following is correct?

Answer:
Hey there! your answer should be the first choice, -1/8
Step-by-step explanation:
multiplication and division in fraction are way easier than adding and subtracting them since you don't have to use factoring much.
so first you set them aside [tex](\frac{1}{2} )(\frac{-1}{4})[/tex]
then, literally just multiply them across.
meaning, top times top a.k.a. the numerator and bottom times bottom a.k.a. the denominator
check this little cheat code
positive x positive = positive
negative x negative = positive
positive x negative = negative
negative x positive = negative
so lets do the top, the numerators first: 1 x (-1) = -1
then the bottom, the denominators next: 2 x 4 = 8
now replace your answer with that and you get [tex]\frac{-1}{8}[/tex] which leads you with the first answer choice.
I hope this helps! :)