Question 215108
{{{((7m)/(2m+14))((3m+21)/(9m))}}} Start with the given expression.



{{{((7m)/(2(m+7)))((3m+21)/(9m))}}} Factor {{{2m+14}}} to get {{{2(m+7)}}}



{{{((7m)/(2(m+7)))((3(m+7))/(9m))}}} Factor {{{3m+21}}} to get {{{3(m+7)}}}



{{{((7m)/(2(m+7)))((3(m+7))/(3*3m))}}} Factor {{{9m}}} to get {{{3*3m}}}



{{{(7*3m(m+7))/(2*3*3m(m+7))}}} Combine the fractions.



{{{(7*highlight(3m)highlight((m+7)))/(2*3*highlight(3m)highlight((m+7)))}}} Highlight the common terms.



{{{(7*cross(3m)cross((m+7)))/(2*3*cross(3m)cross((m+7)))}}} Cancel out the common terms.



{{{7/(2*3)}}} Simplify



{{{7/6}}} Multiply



So {{{((7m)/(2m+14))((3m+21)/(9m))}}} simplifies to {{{7/6}}}



In other words, {{{((7m)/(2m+14))((3m+21)/(9m))=7/6}}}