Question

How do you divide `\frac { 10y ^ { 2} } { x y } \div \frac { y ^ { 4} } { x ^ { 6} }`?

Answer 1

See a solution process below:

Explanation:

First, rewrite the expression as:

`((10y^2)/(xy))/(y^4/x^6)`

Next, use this rule for dividing fractions to simplify the expression:

`(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)(10y^2)/color(blue)(xy))/(color(green)(y^4)/color(purple)(x^6)) = (color(red)(10y^2) xx color(purple)(x^6))/(color(blue)(xy) xx color(green)(y^4)) = (10x^6y^2)/(xy^5) = (10x^5)/y^3`