Mathématiques

Question

Bonjour
F=2/3-4/3:2/5
G=5+(1+1/8):3/4
H=(2/3-3):1/9
I=7/6+11/3*5/4
Merci d'avance ​

2 Réponse

  • Bonjour,

    F= 2/3-4/3:2/5

    F = 2/3 - 4/3 x 5/2

    F = (2 x 2) / (3 x 2) - 12/6

    F = 4/6 - 12/16

    F = - 8/6

    F = (2 x - 4) / (2 x 3)

    F = - 4/3

    G=5+(1+1/8):3/4

    G = 5 + [(1 x 8) / (1 x 8) + 1/8] : 3/4

    G = 5 + (8/8 + 1/8) : 3/4

    G = 5 + 9/8 x 4/3

    G = 5 + 36/24

    G = (5 x 2) / (1 x 2) + (12 x 3) / (12 x 2)

    G = 10/2 + 3/2

    G = 13/2

    H=(2/3-3):1/9

    H = [2/3 - (3 x 3) / (1 x 3)] : 1/9

    H = (2/3 - 9/3) : 1/9

    H = - 7/3 x 9

    H = - 63/3

    H = (3 x - 21) / (3 x 1)

    H = - 21.

    I=7/6+11/3*5/4

    I = 7/6 + 55/12

    I = (7 x 2) / (6 x 2) + 55/12

    I = 14/12 + 55/12

    I = 69/12

    I = (3 x 23) / (3 x 4)

    I = 23/4.

  • Bonjour,

    [tex]F=\frac{2}{3} -\frac{4}{3}:\frac{2}{5}\\\\F=\frac{2}{3}-\frac{4}{3}*\frac{5}{2}\\\\F=\frac{2}{3}-\frac{20}{6}\\\\F=\frac{2}{3}-\frac{10}{3}\\\\F=-\frac{8}{3}\\[/tex]

    [tex]G=5+(1+\frac{1}{8} ):\frac{3}{4} \\\\G=5+(\frac{8}{8}+\frac{1}{8} )*\frac{4}{3}\\\\G=5+\frac{9}{8}*\frac{4}{3}\\\\G=5+\frac{9}{6}\\\\G=\frac{30}{6}+\frac{9}{6}\\\\G=\frac{39}{6}\\\\G=\frac{13}{2}\\\\G=6,5[/tex]

    [tex]H=(\frac{2}{3} -3):\frac{1}{9} \\\\H=(\frac{2}{3} -\frac{9}{3})*\frac{9}{1}\\\\H=-\frac{7}{3}*\frac{3*3}{1} \\\\H=-7*3\\\\H=-21[/tex]

    [tex]I=\frac{7}{6}+\frac{11}{3}*\frac{5}{4}\\\\I=\frac{7}{6}+\frac{55}{12}\\\\I=\frac{14}{12}+\frac{55}{12}\\\\I=\frac{69}{12} \\\\I=5,75[/tex]

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