Mathématiques

Question

Calculs Fractionnaires:

A = 3/7-2/7×21/8  |  B = 5/4-2/3×9/16  |  C = (2+2/3)×(4/5-2/3)  |  D = 1-(1/4+3/4×4/5)

Calculs & Puissances:

E = -3×(5-3×2)³    |  F = (15-6×3)×(7-6-2×4)²

2 Réponse

  • Calculs Fractionnaires:
    A = 3/7-2/7×21/8
    =3/7-42/56
    =24/56-42/56
    =-18/56
    =-9/28

    B = 5/4-2/3×9/16 
    =5/4-18/48
    =5/4-9/24
    =30/24-9/24
    =21/24
    =7/8

    C = (2+2/3)×(4/5-2/3)
    =(6/3+2/3)*(12/15-10/15)
    =8/3*2/15
    =16/45

    D = 1-(1/4+3/4×4/5)
    =1-(5/20+12/20)
    =20/20-17/20
    =3/20

    Calculs & Puissances
    :
    E = -3×(5-3×2)³ 
    =-3*(5-6)²
    =-3*(-1)²
    =-3*1
    =-3

    F = (15-6×3)×(7-6-2×4)²
    =(15-18)*(1-8)²
    =-3*(-7)²
    =-3*49
    =-147
  • A = 3/7-2/7×21/8
    [tex] \frac{3}{7} - \frac{2}{7} [/tex] × [tex] \frac{21}{8} [/tex]
    [tex] \frac{1}{7} [/tex] × [tex] \frac{21}{8} =[/tex] [tex] \frac{21}{56} = \frac{3}{8} [/tex]

    B = 5/4-2/3×9/16
    B =[tex] \frac{5}{4} - \frac{2}{3} [/tex] × [tex] \frac{4}{5} - \frac{2}{3} [/tex]
    B =[tex] \frac{15}{12} - \frac{8}{12} [/tex] × [tex] \frac{12}{15} - \frac{10}{15} [/tex]
    B = [tex] \frac{7}{12} [/tex] × [tex] \frac{2}{15} [/tex]
    B = [tex] \frac{14}{180} [/tex]
    B = [tex] \frac{7}{90} [/tex]

    C = (2+2/3)×(4/5-2/3)
    C = 
    [tex]( \frac{6}{3} + \frac{2}{3} × (\frac{12}{15} - \frac{10}{15}[/tex]
    C = [tex] \frac{8}{3} [/tex] × [tex] \frac{2}{15} [/tex]
    C = [tex] \frac{16}{45} [/tex]

    D = 1-(1/4+3/4×4/5)
    D = 
    [tex]1 - ( \frac{1}{4} + \frac{3}{4} × \frac{4}{5}) [/tex]
    D = [tex]1- (1 × \frac{4}{5}) [/tex]
    D = [tex] \frac{1}{5} [/tex]

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