Asked by humza
5/x-2 - 4/x-3 express as a single fraction in its simplest form. I had done the question like this: = 5/x-2 (x-2)(x-3) -4/x-3 (x-2)(x-3) = 5x-15-4x+8 = x-7 but how in fraction?
Answers
Answered by
Reiny
just like in 5/6 - 3/7 you will need a common denominator.
In my example, it would be 42?
How did I get 42 ?
Next step
35/42 - 18/42 ---> how did I get those fractions
= 17/42
Now to your problem
5/(x-2) - 4(x-3)
LCD = (x-2)(x-3) ---> same step as above e.g
= 5(x-3)/((x-2)(x-3)) - 4(x-2)/((x-2)(x-3))
= (5x-15 -4x+8)/((x-2)(x-3))
= (x - 7)/((x-2)(x-3))
In my example, it would be 42?
How did I get 42 ?
Next step
35/42 - 18/42 ---> how did I get those fractions
= 17/42
Now to your problem
5/(x-2) - 4(x-3)
LCD = (x-2)(x-3) ---> same step as above e.g
= 5(x-3)/((x-2)(x-3)) - 4(x-2)/((x-2)(x-3))
= (5x-15 -4x+8)/((x-2)(x-3))
= (x - 7)/((x-2)(x-3))
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.