Question

How do you simplify `1/3 div 3/4`?

Answer 1

See the entire simplification process below:

Explanation:

First, rewrite this expression as:

`(1/3)/(3/4)`

Now, use the following 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))`

Substituting gives:

`(color(red)(1)/color(blue)(3))/(color(green)(3)/color(purple)(4)) = (color(red)(1) xx color(purple)(4))/(color(blue)(3) xx color(green)(3)) = 4/9`