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Algebraic Fractions help

I usually know how to do them but now I've started to get a mental block.

What is an easy method to solve them? As well can people help solve these for me so that I get an idea for them myself, thanks.

1) (2x+3)/3 + 4x+1/2 = 43/2
2) (2x+3)/3 + (4x+1)/2 = 43/2x-1
3) (3x+2)/4x-2 + 2/3
Reply 1
Original post by innermight
I usually know how to do them but now I've started to get a mental block.

What is an easy method to solve them? As well can people help solve these for me so that I get an idea for them myself, thanks.

1) (2x+3)/3 + 4x+1/2 = 43/2
2) (2x+3)/3 + (4x+1)/2 = 43/2x-1
3) (3x+2)/4x-2 + 2/3


get rid of fractions then rearrange and solve for x
Reply 2
Multiply both sides of the equation then expand and simplify and all should work out nicely.
Reply 3
Original post by innermight
I usually know how to do them but now I've started to get a mental block.

What is an easy method to solve them? As well can people help solve these for me so that I get an idea for them myself, thanks.

1) (2x+3)/3 + 4x+1/2 = 43/2
2) (2x+3)/3 + (4x+1)/2 = 43/2x-1
3) (3x+2)/4x-2 + 2/3


Common denominators:

2x+33+4x+12=2(2x+3)+3(4x+1)6=432\displaystyle \frac{2x+3}{3} + \frac{4x+1}{2} = \frac{2(2x+3) + 3(4x+1)}{6} = \frac{43}{2}
Reply 4
Original post by Zacken
Common denominators:

2x+33+4x+12=2(2x+3)+3(4x+1)6=432\displaystyle \frac{2x+3}{3} + \frac{4x+1}{2} = \frac{2(2x+3) + 3(4x+1)}{6} = \frac{43}{2}


So do I leave the = 43/2 untouched?
Reply 5
Original post by innermight
So do I leave the = 43/2 untouched?


Well, there are multiple ways to do it. You'll end up multiply both sides of the equation by 6 anyhow, so it's not untouched per se.
Reply 6
what do you do when they are flipped around??

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