MATHmaniac aka CrUNchy

1)Find the continued fraction of

1st step:


2nd step:
Find the gcd(13,7)
13 = 1 x 7 +6
7 = 1 x 6 + 1
6 = 1 x 6 + 0
gcd (13,7)=1

3rd step:
Multiply
and
to obtain,



4th step:
Substitute it




Thus,


2)Find the continued fraction of


1st Step:


2nd step: find the gcd (23,21)
23=1 x 21 +2
21=10 x 2 +1
2=2x1+0

3rd step:
Multiply and to obtain



4th step:Substitute




Thus,

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