## anonymous 4 years ago 2a over 3 divided by one half. solve and show work. can you explain to me how to do this

1. LollyLau

(2a/3)/(1/2) =2a/3 * 2 =4a/3

2. anonymous

yes --- right

3. anonymous

Correct 4a/3.

4. anonymous

dividing by 1/2 is the same as multiplying by 2. Infact dividing by 1/x where $x \neq 0$ is equivalent to multiplying by x because: $\frac{1}{x} = x^{-1}$ so dividing by 1/x means multiplying by $\frac{1}{\frac{1}{x}} = (x^{-1})^{-1} = x$ Thus $\frac{2a}{3}$ divided by 1/2 is the same as $\frac{4a}{3}$

5. LollyLau

do we have to use powers? (a/b)/(c/d)*(d/c)/(d/c) =(a/b)/(d/c).