Question

How do you simplify `-\frac { 6} { 5} k - \frac { 14} { 9} k`?

Answer 1

See a solution process below:

Explanation:

First, put each fraction over a common denominator, in this case `45`, by multiplying each fraction by the appropriate form of `1`:

`-6/5k - 14/9k = (9/9 xx -6/5)k - (5/5 xx 14/9)k =>`

`-54/45k - 70/45k`

Next we can factor a `k` out of each term giving:

`(-54/45 - 70/45)k = -124/45k`