Question

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

Answer 1

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

Answer 2

yes --- right

Answer 3

Correct 4a/3.

Answer 4

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 \[\frac{4a}{3}\]

Answer 5

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