How do you evaluate #-\frac { 7} { 8} \div ( - \frac { 1} { 2} ) #?

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Answer 1 · 2017-12-09T02:06:52

See a solution process below:

First, rewrite this expression as:

#(7/-8)/((-1)/2#

Now, 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)(7)/color(blue)(-8))/(color(green)(-1)/color(purple)(2)) =>#

# (color(red)(7) xx color(purple)(2))/(color(blue)(-8) xx color(green)(-1)) =>#

# (color(red)(7) xx color(blue)(cancel(color(purple)(2))))/(color(purple)(cancel(color(blue)(-8))color(blue)(-4)) xx color(green)(-1)) =>#

#color(red)(7)/(color(blue)(-4) xx color(green)(-1)) =>#

#7/4#