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    Please could somebody explain to me how this was simplified:



    I don't understand, and it can't be that difficult.
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    Hi, thanks for your quick reply

    Sorry but I'm confused how you came up with

    (Original post by PerigeeApogee)
     2 = \frac{2(x+1)}{x+1}
    Any chance you could explain it in smaller steps?
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    (Original post by matthewdownloads)
    Please could somebody explain to me how this was simplified:



    I don't understand, and it can't be that difficult.
    Don't be scared to separate fractions temporarily and work with the bits one by one. I personally think that whole numbers mixed with fractions are really ugly (like 2+\frac{1}{(x+1)}).

    Try to rewrite the numerator 2+\frac{1}{(x+1)} as one fraction (so everything is "over" x+1.)

    2+\frac{1}{(x+1)} = \frac{2(x+1)}{(x+1)}+\frac{1}{(x  +1)} = \frac{(2x+3)}{(x+1)}

    Edit: You can see that essentially we have not changed the "2"; you can actually remove the (x+1) from \frac{2(x+1)}{(x+1)} and you'll still get 2. Can you see that you can cancel (x+1) out and you'll be left with 2? Writing it this way just makes it a bit less ugly, and a bit easier to handle because you don't mix whole numbers with fractions like before



    Since that's just the top bit, you're gonna have to do the same for the bottom bit. This will give you another fraction. If you remember how to divide fractions, you'll remember that:

    \frac{\frac{2}{5}}{\frac{1}{2}} = \frac{2}{5} \times \frac{2}{1}; you just "flip" the second fraction over and multiply it with the first one. You should be able to apply this to the original question

    Once you're done with all that, the last thing you'll need to remember is that \frac{5(x+7)}{(x+7)}=5; \frac{(x+10)(x+7)}{(x+1)(x+7)}=\  frac{(x+10)}{(x+1)} because you can cancel (x+7) down, as is it in both the numerator and denominator.
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    (Original post by Chelle-belle)
    Don't be scared to separate fractions temporarily and work with the bits one by one. I personally think that whole numbers mixed with fractions are really ugly (like 2+\frac{1}{(x+1)}).

    Aha! Thanks, now I've looked at my working I actually had the answer but I didn't cancel the x+1 terms on top and bottom and instead multiplied it out which gave me a mess! It's a lot clearer to actually split the fraction separately on the page, thanks
 
 
 
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