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

1 Answer
smendyka
Mar 15, 2017

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#

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