a) 100 A = 135;35 35 35 ............ . b) 100 A - A = 135, 35 35 35 ....... - 1,35 35 35 ....... = 134 . c) 100 A - A = 99 A = 134 , donc A = 134/99 .
2)
a ) A = 27, 159 159 159 ............... donc : 1000 A = 27 159, 159 159 159 .......... donc : 1000 A - A = 999 A = 27 159, 159 .......... - 27, 159 ......... = 27132 donc : A = 27132/999 = 9044/333 .
b) B = 0,1234 1234 ....... donc : 10000 B - B = 9999 = 1234,1234 ..... - 0,1234 .... = 1234 , donc : 1234/9999 .
c) C = 3,142857 142857 ..... donc : 1000000 C - C = 999999 C = 3142857,142857 .... - 3,142857 ..... = 3142854 donc : C = 3142854/999999 = 349206/111111 = 9438/3003 = 3146/1001 = 286/91 = 22/7 .
2 votes Thanks 0
Tati14
Merci beaucoup d'avoir pris le temps de répondre!
Lista de comentários
1)
a) 100 A = 135;35 35 35 ............ .
b) 100 A - A = 135, 35 35 35 ....... - 1,35 35 35 ....... = 134 .
c) 100 A - A = 99 A = 134 , donc A = 134/99 .
2)
a ) A = 27, 159 159 159 ...............
donc : 1000 A = 27 159, 159 159 159 ..........
donc : 1000 A - A = 999 A = 27 159, 159 .......... - 27, 159 ......... = 27132
donc : A = 27132/999 = 9044/333 .
b) B = 0,1234 1234 .......
donc : 10000 B - B = 9999 = 1234,1234 ..... - 0,1234 .... = 1234 ,
donc : 1234/9999 .
c) C = 3,142857 142857 .....
donc : 1000000 C - C = 999999 C
= 3142857,142857 .... - 3,142857 ..... = 3142854
donc : C = 3142854/999999 = 349206/111111 = 9438/3003
= 3146/1001 = 286/91 = 22/7 .