Bonjour,
A = 5/7 + 11/4 = (5×4)/(7×4) + (11×7)/(4×7)
= 20/28 + 77/28
= 97/28
B = 7/8 - 5/12 = (7×3)/(8×3) - (5×2)/(12×2)
= 21/24 - 10/24
= 11/24
C = 5/21 × 7/3 = (5×7)/(7×3×3)
= 5/9
D = 9/10 ÷ 7/11 = 9/10 × 11/7
= 99/70
E = 8/5 + 6/5 × 3 = 8/5 + 18/5
= 26/5
F = 3/2 - 6/10 ÷ 3/2 = 3/2 - 6/10 × 2/3
= 3/2 - (3×2×2)/(2×5×3)
= 3/2 - 2/5
= (3×5)/(2×5) - (2×2)/(5×2)
= 15/10 - 4/10
= 11/10
Bonjour ! ;)
Réponse :
A = [tex]\frac{5}{7}[/tex] + [tex]\frac{11}{4}[/tex]
A = [tex]\frac{5*4}{7*4}[/tex] + [tex]\frac{11*7}{4*7}[/tex]
A = [tex]\frac{20}{28}[/tex] + [tex]\frac{77}{28}[/tex]
A = [tex]\frac{97}{28}[/tex]
B = [tex]\frac{7}{8}[/tex] - [tex]\frac{5}{12}[/tex]
B = [tex]\frac{7*3}{8*3}[/tex] - [tex]\frac{5*2}{12*2}[/tex]
B = [tex]\frac{21}{24}[/tex] - [tex]\frac{10}{24}[/tex]
B = [tex]\frac{11}{24}[/tex]
C = [tex]\frac{5}{21}[/tex] * [tex]\frac{7}{3}[/tex]
C = [tex]\frac{5}{7 * 3}[/tex] * [tex]\frac{7}{3}[/tex]
C = [tex]\frac{5}{3}[/tex] * [tex]\frac{1}{3}[/tex] ( en effet, les " 7 " se simplifient ! )
C = [tex]\frac{5*1}{3*3}[/tex]
C = [tex]\frac{5}{9}[/tex]
D = [tex]\frac{9}{10}[/tex] / [tex]\frac{7}{11}[/tex]
D = [tex]\frac{9}{10}[/tex] * [tex]\frac{11}{7}[/tex] ( rappel : diviser deux fractions revient à multiplier la première fraction par l'inverse de la deuxième fraction )
D = [tex]\frac{9*11}{10*7}[/tex]
D = [tex]\frac{99}{70}[/tex]
E = [tex]\frac{8}{5}[/tex] + [tex]\frac{6}{5}[/tex] * 3 ( rappel : la multiplication est prioritaire sur l'addition )
E = [tex]\frac{8}{5}[/tex] + [tex]\frac{6*3}{5}[/tex]
E = [tex]\frac{8}{5}[/tex] + [tex]\frac{18}{5}[/tex]
E = [tex]\frac{26}{5}[/tex]
F = [tex]\frac{3}{2}[/tex] [tex]-\frac{6}{10}[/tex] / [tex]\frac{3}{2}[/tex]
F = [tex]\frac{3}{2}[/tex] [tex]-\frac{6}{10}[/tex] * [tex]\frac{2}{3}[/tex]
F = [tex]\frac{3}{2}[/tex] [tex]-\frac{3*2}{10}[/tex] * [tex]\frac{2}{3}[/tex]
F = [tex]\frac{3}{2}[/tex] [tex]-\frac{2}{10}[/tex] * 2 ( en effet, les " 3 " se simplifient ! )
F = [tex]\frac{3}{2}[/tex] [tex]-\frac{2*2}{10}[/tex]
F = [tex]\frac{3}{2}[/tex] [tex]-\frac{4}{10}[/tex]
F = [tex]\frac{3*5}{2*5}[/tex] [tex]-\frac{4}{10}[/tex]
F = [tex]\frac{15}{10}[/tex] [tex]-\frac{4}{10}[/tex]
F = [tex]\frac{11}{10}[/tex]
