How do you evaluate # \frac { 12} { 7} \div ( - \frac { 6} { 11} )#?

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Answer 1 · 2018-03-18T12:57:46

See a solution process below:

First, we can rewrite this expression as:

#(12/7)/((-6)/11)#

Now, we can use this rule for dividing fractions to evaluate the expression:

#(color(red)(a)/color(blue)(b))/(color(green)(c)/color(purple)(d)) = (color(red)(a) xx color(purple)(d))/(color(blue)(b) xx color(green)(c))#

#(color(red)(12)/color(blue)(7))/(color(green)(-6)/color(purple)(11)) =>#

#(color(red)(12) xx color(purple)(11))/(color(blue)(7) xx color(green)(-6)) =>#

#(cancel(color(red)(12))color(red)(2) xx color(purple)(11))/(color(blue)(7) xx cancel(color(green)(-6))color(green)(-1)) =>#

#22/-7 =>#

#-22/7#