Question

How do you combine `\frac { 4} { 3d } - \frac { 2d } { d ^ { 2} }`?

Answer 1

See a solution process below:

Explanation:

First, we can factor the fraction on the right as:

`4/(3d) - (2d)/(d * d) => 4/(3d) - (2color(red)(cancel(color(black)(d))))/(d * color(red)(cancel(color(black)(d)))) => 4/(3d) - 2/d`

Now, to add the two fractions we need to get each fraction over a common denominator:

`4/(3d) - 2/d => 4/(3d) - (3/3 xx 2/d) => 4/(3d) - (3 xx 2)/(3 xx d) =>`

`4/(3d) - 6/(3d) => (4 - 6)/(3d) =>`

`-2/(3d)`

Of course, we assume that `d!=0`