Question

How do you divide `\frac { - 7} { 6} \div \frac { - 5} { 3}`?

Answer 1

See a solution process below:

Explanation:

First, rewrite the expression as:

`((-7)/6)/((-5)/3)`

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)(-7)/color(blue)(6))/(color(green)(-5)/color(purple)(3)) => (color(red)(-7) xx color(purple)(3))/(color(blue)(6) xx color(green)(-5)) => (color(red)(-7) xx cancel(color(purple)(3)))/(cancel(color(blue)(6))2 xx color(green)(-5)) => (-7)/-10 => 7/10`