Question

How do you divide `\frac { 13} { 7} \div \frac { 19} { 7}`?

Answer 1

See a solution process below:

Explanation:

First, rewrite this expression as:

`(13/7)/(19/7)`

Now, 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)(13)/color(blue)(7))/(color(green)(13)/color(purple)(7)) = (color(red)(13) xx color(purple)(7))/(color(blue)(7) xx color(green)(19)) = (color(red)(13) xx cancel(color(purple)(7)))/(cancel(color(blue)(7)) xx color(green)(19)) = 13/9`