Treść zadania

basiexa

1/2 :4/5 - 2/3 :4/6 =
3/4 : 3/5 + 1/2 : 6/8=
4/6 : 7/9 - 1/2 : 1/4=
8/9: 1/3 + 2/3 : 1/2=
5/7: 2/3 - 1/2 :1:9=
4/7:1/8 + 3/5: 6/7=
3/6:1/8 - 5/7: 2/3=
3/5:5/7 +3/5 :1/2=
3/4:6/9 - 3/4:1/2=
3/6:7/9 + 2/5:3/9=
4/6 :3/8 - 3/4 : 7/8=
5/7:3/5 + 2/5:4/9=

Zadanie jest zamknięte. Autor zadania wybrał już najlepsze rozwiązanie lub straciło ono ważność.

Najlepsze rozwiązanie

  • 1 0

    1/2 :4/5 - 2/3 :4/6 = 1/2*5/4 - 2/3*6/4 = 5/8 - 12/12 = 5/8 - 1 = -3/8
    3/4 : 3/5 + 1/2 : 6/8 = 3/4*5/3 + 1/2*8/6 = 15/12 + 8/12 = 23/12 = 1 i 11/12
    4/6 : 7/9 - 1/2 : 1/4 = 4/6*9/7 - 1/2*4/1 = 36/42 - 4/2 = 36/42 - 84/42 = -48/42 = -1 i 6/42 = -1 i 1/7
    8/9: 1/3 + 2/3 : 1/2 = 8/9*3/1 + 2/3*2/1 = 24/9 + 4/3 = 24/9 + 12/9 = 36/9 = 4
    5/7: 2/3 - 1/2 :1/9 = 5/7*3/2 - 1/2*9/1 = 15/14 - 9/2 = 15/14 - 63/14 = -48/14 = -3 i 6/14 = -3 i 3/7
    4/7:1/8 + 3/5: 6/7 = 4/7*8/1 + 3/5*7/6 = 32/7 + 21/30 = 960/210 + 147/210 = 1107/210 = 5 i 57/210
    3/6:1/8 - 5/7: 2/3 = 3/6*8/1 - 5/7*3/2 = 24/6 - 15/14 = 4 - 1 i 1/14 = 2 i 13/14
    3/5:5/7 +3/5 :1/2 = 3/5*7/5 + 3/5*2/1 = 21/25 + 6/5 = 21/25 + 30/25 = 51/25 = 2 i 1/25
    3/4:6/9 - 3/4:1/2 = 3/4*9/6 - 3/4*2/1 = 27/24 - 6/4 = 27/24 - 36/24 = -9/24 = -3/8
    3/6:7/9 + 2/5:3/9 = 3/6*9/7 + 2/5*9/3 = 27/42 + 18/15 = 405/630 + 756/630 = 1161/630 = 1 i 531/630
    4/6 :3/8 - 3/4 : 7/8= 4/6*8/3 - 3/4*8/7 = 32/18 - 24/28 = 896/504 - 432/504 = 464/504 = 58/63
    5/7:3/5 + 2/5:4/9 = 5/7*5/3 + 2/5*9/4 = 25/21 + 18/20 = 500/420 + 378/420 = 878/420 = 439/210 = 2 i 19/210

Rozwiązania

  • sonar

    1/2 :4/5 - 2/3 :4/6 = 1/2 * 5/4 - 2/3 * 6/4 = 5/8 - 12/12 = 5/8 - 1 = - 3/8

    3/4 : 3/5 + 1/2 : 6/8=3/4 * 5/3 + 1/2 * 8/6 = 15/12 + 8/12 = 23/12 = 1 i 11/12

    4/6 : 7/9 - 1/2 : 1/4=4/6 * 9/7 - 1/2 * 4/1 = 36/42 - 4/2 = 6/7 - 2 = - 1 i 1/7

    8/9: 1/3 + 2/3 : 1/2=8/9 * 3/1 + 2/3 * 2/1 = 24/9 + 4/3 =2 i 6/9 + 4/3 = 2 i 2/3 + 4/3 = 4

    5/7: 2/3 - 1/2 :1:9= 5/7 * 3/2 - 1/2 * 9/1 = 15/14 - 9/2 = 1 i 1/14 - 4 i 1/2 =1 i 1/14 - 4 i 7/14 = - 3 i6/14 =-3 i 3/7

    4/7:1/8 + 3/5: 6/7=4/7 * 8/1 + 3/5 * 7/6 = 32/7 + 21/30 = 32/7 + 7/10 = 320/70 + 49 /70 = 369/70= 5 i 19/70

    3/6:1/8 - 5/7: 2/3=3/6 * 8/1 - 5/7 * 3/2 = 24/6 - 15/14 = 4 - 1 i 1/14= 2 i 13/14

    3/5:5/7 +3/5 :1/2=3/5 * 7/5 + 3/5 * 2/1 = 21/25 + 6/5 = 21/25 + 30/25 = 51/25 = 2 i 1/25

    3/4:6/9 - 3/4:1/2= 3/4 * 9/6 - 3/4 * 2/1 = 27/24 - 6/4 = 9/8 - 12/8 = -3/8

    3/6:7/9 + 2/5:3/9=3/6 * 9/7 + 2/5 * 9/3 = 27/42 + 18/15= 9/14 + 6/5 = 45/70 +84 /70 = 129/70 = 1 i 59/70

    4/6 :3/8 - 3/4 : 7/8=4/6 * 8/3 - 3/4 * 8/7 = 32/18 - 24/28 = 16/9 - 6/7 = 112/63 - 54/63= 58/63

    5/7:3/5 + 2/5:4/9= 5/7 * 5/3 + 2/5 * 9/4 = 25/21 + 18/20 =500 /420 + 378/420 = 878/420 =2 i 38/420 =2 i 19/210

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