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Mathematics 19 Online
OpenStudy (anonymous):

Weird fractions

OpenStudy (anonymous):

OpenStudy (anonymous):

@MR.COOLIO

OpenStudy (mr.coolio):

I think the answer is one

OpenStudy (mr.coolio):

not too sure thou

OpenStudy (anonymous):

Please someone help

OpenStudy (anonymous):

@amistre64

OpenStudy (tylerd):

i dont think its 1

OpenStudy (anonymous):

@e.mccormick

OpenStudy (anonymous):

Does anyone have an idea?

OpenStudy (e.mccormick):

It is not hard to figure out. What did you get?

OpenStudy (anonymous):

Something crazy that I'm too lazy to draw out I know it shouldn't be chaotic, so I don't think its right.

OpenStudy (anonymous):

Wait, is it 5/8?

OpenStudy (e.mccormick):

Not that hard to show: \(\dfrac{1}{1+\dfrac{1}{1+\dfrac{1}{1+\frac{1}{1}}}}\) \(\dfrac{1}{1+\dfrac{1}{1+\dfrac{1}{1+1}}}\) \(\dfrac{1}{1+\dfrac{1}{1+\dfrac{1}{2}}}\) And so on.

OpenStudy (anonymous):

But the bottommost is 1+1

OpenStudy (anonymous):

I got 5/8 now

OpenStudy (e.mccormick):

Oops, I mistyped something then. But yah, you get the point.

OpenStudy (anonymous):

So my answer is right?

OpenStudy (e.mccormick):

\(\dfrac{1}{1+\dfrac{1}{1+\dfrac{1}{1+\frac{1}{1+1}}}}\) \(\dfrac{1}{1+\dfrac{1}{1+\dfrac{1}{1+\frac{1}{2}}}}\) \(\dfrac{1}{1+\dfrac{1}{1+\dfrac{1}{\frac{3}{2}}}}\) \(\dfrac{1}{1+\dfrac{1}{1+{\frac{2}{3}}}}\) \(\dfrac{1}{1+\dfrac{1}{\frac{5}{3}}}\) \(\dfrac{1}{1+\frac{3}{5}}\) \(\dfrac{1}{\dfrac{8}{5}}\) \(\dfrac{5}{8}\)

OpenStudy (anonymous):

TY so much!

OpenStudy (e.mccormick):

And @MR.COOLIO if those were \(\times\) then you would have been right. But because it is addition....

OpenStudy (mr.coolio):

Oh ok, I was keeping up with the problem and now I see where I went wrong Thx.

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