Question

How do you divide `\frac { 11x ^ { 2} } { 8} \div \frac { 22x ^ { 2} } { 4}`?

Answer 1

See a solution process below:

Explanation:

First, we can rewrite this expression as:

`((11x^2)/8)/((22x^2)/4)`

We can use this rule for dividing fractions to answer this question:

`(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)(11x^2)/color(blue)(8))/(color(green)(22x^2)/color(purple)(4)) => (color(red)(11x^2) xx color(purple)(4))/(color(blue)(8) xx color(green)(22x^2)) => (color(red)(color(black)(cancel(color(red)(11)))color(black)(cancel(color(red)(x^2)))) xx color(black)(cancel(color(purple)(4))))/(color(black)(cancel(color(blue)(8)))2 xx color(black)(cancel(color(green)(22)))2color(green)(color(black)(cancel(color(green)(x^2))))) => 1/4`