Question

How do you simplify `-2/(7r)+4/t`?

Answer 1

`=2{(-1/7r) + (2/t)}`

Taking LCM

`=2{(-t+14r)/(7rt)}`

`=(2(14r-t))/(7rt)`

Answer 2

`-2/(7r)+4/t=color(blue)((2(14r-t))/(7rt)`

Explanation:

Simplify.

`-2/(7r)+4/t`

Determine the least common denominator by multplying the denominators:

`7rxxt=7rt`

Multiply each fraction by an equivalent fraction to make both denominators `7rt`. An equivalent fraction is one in which the numerator and denominator are the same. An equivalent fraction is equal to `1`. For example `8/8=1`.

The expression can be rewritten as `4/t-2/(7r)`.

`4/txxcolor(magenta)((7r)/(7r))-(2)/(7r)xxcolor(teal)(t/t`

Simplify.

`(28r)/(7rt)-(2t)/(7rt)`

Combine the numerators.

`(28r-2t)/(7rt)`

Simplify the numerator by factoring out the common `2`.

`(2(14r-t))/(7rt)`