How do you rewrite the expression 1/2k + 1/4k using distributive property

Question

Rewrite 1/2k + 1/4k using distributive property.

Answer 1

Hooo, I can see a few different options to make a distributive expression here. The most simplistic would be to factor out a k:

k(¹/₂ + ¹/₄)

Of course, if we want, we could also factor out a 1/2 (we multiply whats in the parentheses by 2 to counter/equalize against the 1/2:

¹/₂ k(1 + ¹/₂)

But then, that whole number and that fraction combo looks awkward, so we could factor out another 1/2:

¹/₄ k(2 + 1)

 

So as you can see, you have a handful of options on how to factor out the expression.