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bonjour

[tex]4/3 - ( 1/2 + 7/8 ) = 4/3 - ( 4/8 + 7/8) \\= 4/3 - 11 /8\\= 32/24 - 33/24\\= - 1 /24[/tex]

4/3 - 7/5 - ( 3/5 - 5/7)

= 4/3 - 7/5 - ( 21/35 - 25/35)

= 4/3 - 7/5 - ( - 4/35 )

=  140/105 - 147/105 + 12/105

= 5 /105

= 1/21

a + b + c

= 1/2 - 2/3 + 5/4

=  6/12 - 8/12 + 15/12

=  13/12

a - b - c

= 1/2 + 2/3 - 5/4

= 6/12 + 8/12 - 15/12

= - 1/12

a - ( b - c)

= 1/2 - ( - 2/3 - 5/4)

= 6/12 - ( - 8/12 - 15/12 )

= 6/12 - ( - 23/12)

= 6/12 + 23/12

= 29/12

Bonjour :)

Exercice 75

[tex]\frac{4}{3} - (\frac{1}{2} + \frac{7}{8})[/tex]

[tex]\frac{4}{3} - (\frac{4}{8} + \frac{7}{8})[/tex]

[tex]\frac{4}{3} - \frac{11}{8}[/tex]

[tex]\frac{32}{24} - \frac{33}{24}[/tex]

[tex]\frac{32-33}{24}[/tex]

[tex]\frac{-1}{24}[/tex]

[tex]\frac{4}{3} - \frac{7}{5} - (\frac{3}{5} - \frac{5}{7})[/tex]

[tex]\frac{4}{3} - \frac{7}{5} - (\frac{21}{35} - \frac{25}{35})[/tex]

[tex]\frac{4}{3} - \frac{7}{5} - (\frac{-4}{35})[/tex]

[tex]\frac{4}{3} - \frac{7}{5} + \frac{4}{35}[/tex]

[tex]\frac{20}{15} - \frac{21}{15} + \frac{4}{35}[/tex]

[tex]\frac{-1}{15} + \frac{4}{35}[/tex]

[tex]\frac{-7}{105} + \frac{12}{105}[/tex]

[tex]\frac{-7+12}{105}[/tex]

[tex]\frac{5}{105} = \frac{1}{21}[/tex]

Exercice 76

A = a + b + c

[tex]\frac{1}{2} - \frac{2}{3} + \frac{5}{4}[/tex]

[tex]\frac{6}{12} - \frac{8}{12} + \frac{15}{12}[/tex]

[tex]\frac{6-8+15}{12}[/tex]

[tex]\frac{13}{12}[/tex]

B = a - b - c

[tex]\frac{1}{2} + \frac{2}{3} - \frac{5}{4}[/tex]

[tex]\frac{6}{12} + \frac{8}{12} - \frac{15}{12}[/tex]

[tex]\frac{6+8-15}{12}[/tex]

[tex]\frac{14-15}{12}[/tex]

[tex]\frac{-1}{12}[/tex]

C = a - (b - c)

[tex]\frac{1}{2} - (\frac{-2}{3} - \frac{5}{4})[/tex]

[tex]\frac{1}{2} - (\frac{-8}{12} - \frac{15}{12})[/tex]

[tex]\frac{1}{2} - (\frac{-8-15}{12})[/tex]

[tex]\frac{1}{2} - (\frac{-23}{12})[/tex]

[tex]\frac{1}{2} + \frac{23}{12}[/tex]

[tex]\frac{6}{12} + \frac{23}{12}[/tex]

[tex]\frac{6+23}{12}[/tex]

[tex]\frac{29}{12}[/tex]

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