Question

How do you divide `2/5 div 3/10`?

Answer 1

`4/3 = 1 1/3`

Explanation:

To divide by a fraction, change to multiply by the reciprocal:

`2/5 div 3/10`

`=2/5 xx10/3`

`=2/cancel5 xxcancel10^2/3`

`= 4/3`

Answer 2

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))`

Substituting gives:

`(color(red)(2)/color(blue)(5))/(color(green)(3)/color(purple)(10)) => (color(red)(2) xx color(purple)(10))/(color(blue)(5) xx color(green)(3)) => (color(red)(2) xx cancel(color(purple)(10))color(purple)(2))/(cancel(color(blue)(5))color(blue)(1) xx color(green)(3)) => 4/3`