Question

How do you divide `\frac { 15} { 28}-: \frac { 5} { 7}`?

Answer 1

See a solution process below:

Explanation:

First, rewrite the expression as:

`(15/28)/(5/7)`

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))`

Substituting gives:

`(color(red)(15)/color(blue)(28))/(color(green)(5)/color(purple)(7)) => (color(red)(15) xx color(purple)(7))/(color(blue)(28) xx color(green)(5)) => (cancel(color(red)(15))3 xx cancel(color(purple)(7)))/(cancel(color(blue)(28))4 xx cancel(color(green)(5))) = 3/4`