Question

How do you evaluate `40\div \frac{7}{5}`?

Answer 1

See a solution process below:

Explanation:

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))`

`40 -: 12/3 => 40/1 -: 12/3 => (color(red)(40)/color(blue)(1))/(color(green)(7)/color(purple)(5)) => (color(red)(40) xx color(purple)(5))/(color(blue)(1) xx color(green)(7)) => 200/7`