Question

How do you evaluate `3/8\div 12/3`?

Answer 1

See a solution process below:

Explanation:

Use this rule for dividing fractions:

`(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))`

`3/8 -: 12/3 => (color(red)(3)/color(blue)(8))/(color(green)(12)/color(purple)(3)) => (color(red)(3) xx color(purple)(3))/(color(blue)(8) xx color(green)(12)) => (cancel(color(red)(3)) xx color(purple)(3))/(color(blue)(8) xx color(green)(color(black)(cancel(color(green)(12)))4)) => 3/32`