Question

How do you evaluate `[21\div ( - 3) ] \div ( - \frac { 1} { 8} )`?

Answer 1

See a solution process below:

Explanation:

First, execute the Division operation within the brackets:

`[color(red)(21) -: (color(red)(-3))] -: (-1/8) =>`

`color(red)(-7) -: (-1/8)`

Next, use this rule for dividing fractions to complete the evaluation:

`-7 -: (-1/8) => (-7)/1 -: (-1)/8 => (color(red)(-7)/color(blue)(1))/(color(green)(-1)/color(purple)(8)) => (color(red)(-7) xx color(purple)(8))/(color(blue)(1) xx color(green)(-1)) =>`

`(-56)/-1 => 56/1 => 56`