Given $10(6\cdot3+2)$ we can rearrange the equation by pulling out the $3$ and getting $10(\frac{6\cdot3}{3}+\frac{2}{3})3$
Okay I understand that it works. But I don't understand how. I would have assumed to do $10(\frac{6\cdot3}{3}+2)3$ since we are only removing the $3$ as a factor to $6$. Why does $3$ need to be divided by the $2$ as well? $3$ has nothing to do with the $2$.