Question 154432
{{{((2c)/(3))*((7)/(8c))}}} Start with the given expression.



{{{((2c)/(3))*((7)/(2*4c))}}} Factor {{{8c}}} to get {{{2*4c}}}



{{{(2c*7)/(3*2*4c)}}} Combine the fractions



{{{(highlight(2)highlight(c)*7)/(3*highlight(2)*4highlight(c))}}} Highlight the common terms




{{{(cross(2)cross(c)*7)/(3*cross(2)*4*cross(c))}}} Cancel out the common terms




{{{7/(3*4)}}} Simplify



{{{7/12}}} Multiply



So {{{((2c)/(3))*((7)/(8c))=7/12}}} where {{{c<>0}}}. So you are correct.