How do you divide #-\frac { 24} { 11} \div ( - \frac { 8} { 5} ) #?

1 Answer
smendyka
Jun 10, 2017

See a solution process below:

Explanation:

First, rewrite the expression as:

#(-24/11)/(-8/5) => (24/11)/(8/5)#

Now, use this rule for dividing fractions to complete the division:

#(color(red)(24)/color(blue)(11))/(color(green)(8)/color(purple)(5)) => (color(red)(24) xx color(purple)(5))/(color(blue)(11) xx color(green)(8)) => (cancel(color(red)(24))3 xx color(purple)(5))/(color(blue)(11) xx cancel(color(green)(8))) => 15/11#

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