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Simplifier 4/32
4/32=(4x1)/(4x8)=1/8
Simplifier 198/220
198/220=(9x22)/(10x22)=9/10
Simplifier 455/819
455/819=(91x5)/(91x9)=5/9
4/32=(4x1)/(4x8)=1/8
Simplifier 198/220
198/220=(9x22)/(10x22)=9/10
Simplifier 455/819
455/819=(91x5)/(91x9)=5/9
Je vais calculer les PGCD en utilisant la méthode de la division euclidienne.
32 = 4 x 8 + 0
PGCD ( 32 ; 4 ) = 4
[tex] \frac{4}{32} = \frac{4 * 4}{4*32} = \frac{1}{8} [/tex]
220 = 198 x 1 + 22
198 = 22 x 8 + 0
PGCD ( 220 ; 198 ) = 22
[tex] \frac{198}{220} = \frac{22 * 198}{22 * 220} = \frac{9}{10} [/tex]
819 = 455 x 1 + 364
455 = 364 x 1 + 91
364 = 91 x 4 + 0
PGCD ( 819 ; 455 ) = 91
[tex] \frac{455}{819} = \frac{91 * 455}{91 * 819} = \frac{5}{9} [/tex]
32 = 4 x 8 + 0
PGCD ( 32 ; 4 ) = 4
[tex] \frac{4}{32} = \frac{4 * 4}{4*32} = \frac{1}{8} [/tex]
220 = 198 x 1 + 22
198 = 22 x 8 + 0
PGCD ( 220 ; 198 ) = 22
[tex] \frac{198}{220} = \frac{22 * 198}{22 * 220} = \frac{9}{10} [/tex]
819 = 455 x 1 + 364
455 = 364 x 1 + 91
364 = 91 x 4 + 0
PGCD ( 819 ; 455 ) = 91
[tex] \frac{455}{819} = \frac{91 * 455}{91 * 819} = \frac{5}{9} [/tex]