Question

How do you divide `\frac { a } { b c } \div \frac { b } { a c }`?

Answer 1

See a solution process below:

Explanation:

First, rewrite this expression as:

`((a)/(bc))/((b)/(ac))`

Next, 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)(a)/color(blue)(bc))/(color(green)(b)/color(purple)(ac)) => (color(red)(a) xx color(purple)(ac))/(color(blue)(bc) xx color(green)(b)) => (color(red)(a) xx color(purple)(acancel(c)))/(color(blue)(bcancel(c)) xx color(green)(b)) => a^2/b^2`