Question 374090
{{{((6a)/(2b))*((12b)/(3a^2))}}} Start with the given expression.



{{{((6a)(12b))/((3a^2)(2b))}}} Combine the fractions.



{{{(6*12ab)/(6a^2*b)}}} Multiply



{{{(6*12ab)/(6a*a*b)}}} Rewrite {{{a^2}}} as {{{a*a}}}



{{{(highlight(6)*12*highlight(a)*highlight(b))/(highlight(6)*highlight(a)*a*highlight(b))}}} Highlight the common terms.



{{{(cross(6)*12*cross(a)*cross(b))/(cross(6)*cross(a)*a*cross(b))}}} Cancel out the common terms.



{{{12/a}}} Simplify.



So {{{((6a)/(2b))*((12b)/(3a^2))=12/a}}} where none of the variables are zero.




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