Can anyone please explain to me how the last part of this sorcery becomes /4 when there are two divisions subtracting eachother? Obviously 4-4 cannot be 4, so were am I failing terribly?
Oh - I think the light just came on. You mean on the bottom of the fraction. :)
think about it Vraces.
You have $${\frac{{\mathtt{4}}}{{\mathtt{5}}}}$$ of a cake and you eat $${\frac{{\mathtt{1}}}{{\mathtt{5}}}}$$
Now you have $${\frac{{\mathtt{4}}}{{\mathtt{5}}}}{\mathtt{\,-\,}}{\frac{{\mathtt{1}}}{{\mathtt{5}}}}$$ left. So you have 3 bits left out of the original 5. You now have $${\frac{{\mathtt{3}}}{{\mathtt{5}}}}$$ of a cake.
so
$${\frac{{\mathtt{4}}}{{\mathtt{5}}}}{\mathtt{\,-\,}}{\frac{{\mathtt{1}}}{{\mathtt{5}}}} = {\frac{{\mathtt{3}}}{{\mathtt{5}}}}$$ of the cake left. See - the bottom stays the same.
Does that help?
Hi vraces
it is great to see you again.
is that first line the original question?
I am on my phone so presentation is difficult.
You just need a common denominator so multiply the first fraction by 2 ovér 2
=(2(p+1)^2-(p-1)^2)/4
=(2(p^2+2p+1)-(p^2-2p+1))/4
=(2p^2+4p+2-p^2+2p-1)/4
=(p^2+6p+1)/4
I am just presenting it properly now I am on my computer :)
$$\\=\frac{2(p+1)^2-(p-1)^2}{4}\\\\
=\frac{2(p^2+2p+1)-(p^2-2p+1)}{4}\\\\
=\frac{2p^2+4p+2-p^2+2p-1}{4}\\\\
=\frac{p^2+6p+1}{4}$$
But how does 4 - 4 = 4. Can you explain what this means in the magic land of math?
Hi Vraces :))
Your answer lines do not make sense. That is why I redid it from the first line.
obviously 4-4 does not equal 4 but where to you think it says that this is true?
I am a bit confused Vraces
Oh - I think the light just came on. You mean on the bottom of the fraction. :)
think about it Vraces.
You have $${\frac{{\mathtt{4}}}{{\mathtt{5}}}}$$ of a cake and you eat $${\frac{{\mathtt{1}}}{{\mathtt{5}}}}$$
Now you have $${\frac{{\mathtt{4}}}{{\mathtt{5}}}}{\mathtt{\,-\,}}{\frac{{\mathtt{1}}}{{\mathtt{5}}}}$$ left. So you have 3 bits left out of the original 5. You now have $${\frac{{\mathtt{3}}}{{\mathtt{5}}}}$$ of a cake.
so
$${\frac{{\mathtt{4}}}{{\mathtt{5}}}}{\mathtt{\,-\,}}{\frac{{\mathtt{1}}}{{\mathtt{5}}}} = {\frac{{\mathtt{3}}}{{\mathtt{5}}}}$$ of the cake left. See - the bottom stays the same.
Does that help?