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Sagot :

Bonjour,

[tex]A = \frac{4}{5}+\frac{3}{5}[/tex] × [tex]\frac{1}{2}[/tex]

[tex]A = \frac{4}{5}+\frac{3*1}{5*2}[/tex]

[tex]A = \frac{4}{5}+\frac{3}{10}[/tex]

[tex]A = \frac{4*2}{5*2}+\frac{3}{10}[/tex]

[tex]A = \frac{8}{10}+\frac{3}{10}[/tex]

[tex]A = \frac{8+3}{10}[/tex]

[tex]A = \frac{11}{10}[/tex]

~

[tex]B = (\frac{3}{2})^{2} - \frac{1}{3}[/tex] × [tex](-\frac{5}{2} )[/tex]

[tex]B = \frac{3^{2} }{2^{2} } - \frac{1*(-5)}{3*2}[/tex]

[tex]B = \frac{9 }{4 } - \frac{-5}{6}[/tex]

[tex]B = \frac{9 }{4 } + \frac{5}{6}[/tex]

[tex]B = \frac{9 *3}{4*3 } + \frac{5*2}{6*2}[/tex]

[tex]B = \frac{27}{12 } + \frac{10}{12}[/tex]

[tex]B = \frac{37}{12 }[/tex]

~

[tex]C = \frac{7}{4}-\frac{3}{4}[/tex] ÷ [tex]\frac{8}{9}[/tex]

[tex]C = \frac{7}{4}-\frac{3}{4}[/tex] × [tex]\frac{9}{8}[/tex]

[tex]C = \frac{7}{4}-\frac{3*9}{4*8}[/tex]

[tex]C = \frac{7}{4}-\frac{27}{32}[/tex]

[tex]C = \frac{7*8}{4*8}-\frac{27}{32}[/tex]

[tex]C = \frac{48}{32}-\frac{27}{32}[/tex]

[tex]C = \frac{56}{32}-\frac{27}{32}[/tex]

[tex]C = \frac{29}{32}[/tex]

~

[tex]D = (1-\frac{2}{3})[/tex] ÷ [tex](1+\frac{2}{3})[/tex]

[tex]D = (\frac{1}{1} -\frac{2}{3})[/tex] ÷ [tex](\frac{1}{1} +\frac{2}{3})[/tex]

[tex]D = (\frac{1*3}{1*3} -\frac{2}{3})[/tex] ÷ [tex](\frac{1*3}{1*3} +\frac{2}{3})[/tex]

[tex]D = (\frac{3}{3} -\frac{2}{3})[/tex] ÷ [tex](\frac{3}{3} +\frac{2}{3})[/tex]

[tex]D = (\frac{1}{3} )[/tex] ÷ [tex](\frac{5}{3})[/tex]

[tex]D = \frac{1}{3}[/tex] ÷ [tex]\frac{5}{3}[/tex]

[tex]D = \frac{1}{3}[/tex] × [tex]\frac{3}{5}[/tex]

[tex]D = \frac{1*3}{3*5}[/tex]

[tex]D = \frac{3}{15}[/tex]

[tex]D = \frac{3:3}{15:3}[/tex]

[tex]D = \frac{1}{5}[/tex]

J’espère t’avoir aidé ^^

Bonne journée et bonne continuation.

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