I have the following expression with two answers, I'm not sure if they're correct:
$1/3(a+b) = 1/3 (a) + 1/3 (b)$ can the answer be: $a/3+ b/3$ too?
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$\begingroup$Look at it this way: $$1/3(a+b)=\frac{1\cdot(a+b)}{3}.$$ We know that when we multiply anything by the number 1, nothing changes, and therefore $$1/3(a+b)=\frac{a+b}{3}=\frac{a}{3}+\frac{b}{3},$$ so you are correct.
Also, you wrote $$\frac{1}{3}(a)+\frac{1}{3}(b),$$ which can be rewritten as $$\frac{1\cdot a}{3}+\frac{1\cdot b}{3}=\frac{a}{3}+\frac{b}{3}.$$
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