How do you evaluate #\frac{11}{6}\div \frac{3}{4}#?

1 Answer
smendyka
Nov 29, 2017

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))#

#(color(red)(11)/color(blue)(6))/(color(green)(3)/color(purple)(4)) =>#

#(color(red)(11) xx color(purple)(4))/(color(blue)(6) xx color(green)(3)) =>#

#(color(red)(11) xx color(blue)(cancel(color(purple)(4)))color(purple)(2))/(color(purple)(cancel(color(blue)(6)))color(blue)(3) xx color(green)(3)) =>#

#22/9#

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