Question

How do you evaluate `\frac { - \frac { 4} { 5} } { - \frac { 2} { 3} }`?

Answer 1

See a solution process below:

Explanation:

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)(-4)/color(blue)(5))/(color(green)(-2)/color(purple)(3)) = (color(red)(-4) xx color(purple)(3))/(color(blue)(5) xx color(green)(-2)) = (cancel(color(red)(-4))2 xx color(purple)(3))/(color(blue)(5) xx cancel(color(green)(-2))1) = 6/5`