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Algebraic Fractions... I think? (GCSE) watch

1. Hi maths people,

I'm having some trouble with algebraic fractions, and was wondering if any of you can help me?
I've attempted to attach my problem as a .jpeg- I hope it works!

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2. (Original post by Ava-)
Hi maths people,

I'm having some trouble with algebraic fractions, and was wondering if any of you can help me?
I've attempted to attach my problem as a .jpeg- I hope it works!

I think you have the right idea, but I'm puzzled because the 2x+1 in your original question seems to have changed into a 2x-1 when you do the working out! Which factor is correct?
3. You made a mistake in the first line, you wrote (2x + 1), but you changed it to (2x - 1) in the actual working which is the right one so doesn't really matter

You need to expand the bit you circled. When you expand anything you simply multiply each term by every term in the opposite bracket. Does this help you?
4. (Original post by davros)

I think you have the right idea, but I'm puzzled because the 2x+1 in your original question seems to have changed into a 2x-1 when you do the working out! Which factor is correct?
Oh sorry! I was posting on my phone, and I must have got confused by the auto-rotate.

The 2x-1 is the right one, aha, sorry for that too!
5. (Original post by Ava-)
Oh sorry! I was posting on my phone, and I must have got confused by the auto-rotate.

The 2x-1 is the right one, aha, sorry for that too!
no problem! So basically yes - you multiply both sides of the equation by (x+2)(2x-1), clear fractions and tidy up what's left
6. (Original post by Sulphur)
You made a mistake in the first line, you wrote (2x + 1), but you changed it to (2x - 1) in the actual working which is the right one so doesn't really matter

You need to expand the bit you circled. When you expand anything you simply multiply each term by every term in the opposite bracket. Does this help you?
Okay, so I got
4x?2 + 6x-4

so 11x+7=4x?2 + 6x-4

Now I need to try and get the x on its own? but there is a x squared too?

Thankyou so much!
7. Well your 4X^2 is part of the final solution so that's fine. All you need to do is collect like terms now.
8. (Original post by Ava-)
Okay, so I got
4x?2 + 6x-4

so 11x+7=4x?2 + 6x-4

Now I need to try and get the x on its own? but there is a x squared too?

Thankyou so much!
Just rearrange by taking 11x+7 away from both sides!
9. (Original post by Sulphur)
Well your 4X^2 is part of the final solution so that's fine. All you need to do is collect like terms now.
(Original post by davros)
Just rearrange by taking 11x+7 away from both sides!
Ahh I see, thankyou!

One last thing-
10. (Original post by Ava-)
Ahh I see, thankyou!

One last thing-
Try factorising numerator and denominator of each fraction and see if you can see any common factors in there (I've had a very quick glance and I think one of them can be simplified)
11. (Original post by Ava-)
Ahh I see, thankyou!

One last thing-
One of them can be yes, i'll let you figure out which one
12. Thanks both of you!

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