Mathématiques

Question

Bonjour qui pourrait m'aider sur l'exercice " addition des fractions" svp ??
Bonjour qui pourrait m'aider sur l'exercice  addition des fractions svp ??

1 Réponse

  • Bonjour,

    a. 3/7 + 2/7 = 5/7

    b. 4/9 + 2/9 = 6/9 = 3 x 2 / 3 x 3 = 2/3

    c. 5/11 + 2/11 = 7/11

    d. 4/15 + 2/15 = 6/15 = 3 x 2 / 3 x 5 = 2/5
                            
                                  -------------

    a. 1/3 + 5/6 = 1 x 2 / 3 x 2 + 5/6 = 2/6 + 5/6 = 7/6

    b. 3/4 + 1/12
    = 3 x 3 / 4 x 3 + 1/12
    = 9/12 + 1/12
    = 10/12
    = 2 x 5 / 2 x 6
    = 5/6

    c. 16/19 + 3/4
    = 16 x 4 / 19 x 4 + 3 x 19 / 4 x 19
    = 64/76 + 57/ 76
    = 121/76

    d. 2/15 + 7/25
    = 2 x 5 / 15 x 5 + 7 x 3 / 25 x 3
    = 10/75 + 21/ 75
    = 31/75

    e. 57/95 + 95/38
    = 57 x 2 / 95 x 2 + 95 x 5 / 38 x 5
    = 114/190 + 475/190
    = 589/190
    = 19 x 31 / 19 x 10
    = 31/10

    f. 3/25 + 24/30
    = 3 x 30 / 25 x 30 + 24 x 25 / 30 x 25
    = 90/750 + 600/750
    = 690/750
    = 30 x 23 / 30 x 25
    = 23/25
     
                                ---------------

    a. 3/7 + 2/21 + 5/14
    = 3 x 6 / 7 x 6 + 2 x 2 / 21 x 2 + 5 x 3 / 14 x 3
    = 18/42 + 4/42 + 15/42
    = 37/42

    b. 11/12 + 13/24 + 5/3
    = 11 x 2 / 12 x 2 + 13/24 + 5 x 8 / 3 x 8
    = 22/24 + 13/24 + 40/24
    = 75/24
    = 3 x 25 / 3 x 8
    = 25/8

    c. 16/19 + 23/38 + 12/95
    = 16 x 10 / 19 x 10 + 23 x 5 / 38 x 5 + 12 x 2 / 95 x 2
    = 160/190 + 115/190 + 24/190
    = 299/190

    d. 13/5 + 13/10 + 13/4
    = 13 x 8 / 5 x 8 + 13 x 4 / 10 x 4 + 13 x 10 / 4 x 10
    = 104/40 + 52/40 + 130/40
    = 286/40
    = 2 x 143 / 2 x 20
    = 143/20

    e. 7/22 + 15/22 + 22/55
    = 7/22 + 15/22 + 11 x 2 / 11 x 5
    = 7/22 + 15/22 + 2/5
    = 7 x 5 / 22 x 5 + 15 x 5 / 22 x 5 + 2 x 22 / 5 x 22
    = 35/110 + 75/110 + 44/110
    = 154/110
    = 2 x 143 / 2 x 20
    = 143/20

    f. 26/7 + 36/14 + 120/21
    = 26 x 6 / 7 x 6 + 36 x 3 / 14 x 3 + 120 x 2 / 21 x 2
    = 156/42 + 108/42 + 240/42
    = 504/42
    = 42 x 12 / 42 x 1
    = 42
     
                                        ----------------------

    a. 16/24 - 2/9
    = 16 x 3 / 24 x 3 - 2 x 8 / 9 x 8
    = 48/72 - 16/72
    = 32/72
    = 8 x 4 / 8 x 9
    = 4/9

    b. 32/48 - 5/12
    = 32/48 - 5 x 4 / 12 x 4
    = 32/48 - 20/48
    = 12/48
    = 12 x 1 / 12 x 4
    = 1/4

    c. 14/63 - 1/5
    = 14 x 5 / 63 x 5 - 1 x 63 / 5 x 63
    = 70/315 - 63/315
    = 7/315
    = 7 x 1 / 7 x 45
    = 1/45

    d. 33/55 - 28/56
    = 33 x 56 / 55 x 56 - 28 x 55 / 56 x 55
    = 1848/3080 - 1540/3080
    = 308/3080
    = 308 x 1 / 308 x 10
    = 1/10