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Sagot :

Bonjour

F = (5 x 6/4 - 4) : [- 7 - (- 1/2 - 5/- 3)]

F = [30/4 - (4 x 4) / (1 x 4)] : [- 7 - [(- 1 x 3) / (2 x 3) + (5 x 2) / (3 x 2)]

F = (30/4 - 16/4) : [- 7 - (- 3/6 + 10/6)]

F = 14/4 : (- 7 - 7/6)

F = 7/2 : [(- 7 x 6) / (1 x 6) - 7/6]

F = 7/2 : (- 42/6 - 7/6)

F = 7/2 : - 49/6

F = 7/2 x - 6/49

F = - 42/98

F = (14 x - 3) / (14 x 7)

F = - 3/7.

☺ Salut ☺

Calculons F :

[tex]F = \dfrac{5\times\dfrac{6}{7} - 4}{-\dfrac{7}{3} - (-\dfrac{1}{2} - \dfrac{5}{- 3})}[/tex]

[tex]F = \dfrac{\dfrac{30}{7} - 4}{-\dfrac{7}{3} - (-\dfrac{1}{2} + \dfrac{5}{ 3})}[/tex]

[tex]F = \dfrac{\dfrac{30 - 28}{7}}{-\dfrac{7}{3} - (-\dfrac{3 + 10}{6})}[/tex]

[tex]F = \dfrac{\dfrac{2}{7}}{-\dfrac{7}{3} - (\dfrac{7}{6})}[/tex]

[tex]F = \dfrac{\dfrac{2}{7}}{-\dfrac{7}{3} - \dfrac{7}{6}}[/tex]

[tex]F = \dfrac{\dfrac{2}{7}}{\dfrac{- 14 - 7}{6}}[/tex]

[tex]F = \dfrac{\dfrac{2}{7}}{\dfrac{- 21}{6}}[/tex]

[tex]F = \dfrac{2}{7}\times(- \dfrac{6}{21})[/tex]

[tex]F = - \dfrac{12}{147}[/tex]

✅[tex]\boxed{\boxed{F = - \dfrac{4}{49}}}[/tex]✅

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