Question

How do you divide `\frac { 25} { 11} \div \frac { 5} { 13}`?

Answer 1

See a solution process below:

Explanation:

First, rewrite the expression as:

`(25/11)/(5/13)`

Next, use this rule for dividing fractions to evaluate 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)(25)/color(blue)(11))/(color(green)(5)/color(purple)(13)) = (color(red)(25) xx color(purple)(13))/(color(blue)(11) xx color(green)(5)) = (cancel(color(red)(25))5 xx color(purple)(13))/(color(blue)(11) xx cancel(color(green)(5))) = 65/11`