bonjour pouvez-vous m'aider ?​

Bonsoir,

A=

-4/15 +7/2

-8/30 + 105/30 = 97/30

B=

13/7 +(-8/7 )* (-5/4)

13/7 +40/28

52/28 + 40/28 = 92/28 = 46/14 = 23/7

C=

(15/10 +  6/10)(15/12 - 16/12)

21/10 * -1/12

- 21/ 120

D=

-3/8 -(35/72)

-27/72 - 35/72 = -62/72 = -31/36

☺ Salut ☺

[tex]\rule{6cm}{1mm}[/tex]

Effectuons les calculs suivants :

[tex]A = \dfrac{1}{5} \times \dfrac{- 4}{3} + \dfrac{7}{2}[/tex]

[tex]A = - \dfrac{4}{15}+ \dfrac{7}{2}[/tex]

[tex]A = \dfrac{- 8 + 105}{30}[/tex]

[tex]\green{A = \dfrac{87}{30}}[/tex]

[tex]\\[/tex]

[tex]B = \dfrac{13}{7} (- \dfrac{8}{7}) \div (- \dfrac{4}{5}[/tex]

[tex]B = \dfrac{13}{7} + \dfrac{8}{7}\times \dfrac{5}{4}[/tex]

[tex]B = \dfrac{13}{7} + \dfrac{40}{28}[/tex]

[tex]B = \dfrac{13}{7} + \dfrac{10}{7}[/tex]

[tex]B = \dfrac{13 + 10}{7}[/tex]

[tex]\green{B = \dfrac{23}{7}}[/tex]

[tex]\\[/tex]

[tex]C = ( \dfrac{3}{2} + \dfrac{3}{5} ) ( \dfrac{5}{4} - \dfrac{4}{3} )[/tex]

[tex]C = ( \dfrac{15 + 6}{10}) ( \dfrac{15 - 16}{12})[/tex]

[tex]C = ( \dfrac{21}{10}) (- \dfrac{1}{12})[/tex]

[tex]C = - \dfrac{21}{120}[/tex]

[tex]\green{C = - \dfrac{7}{40}}[/tex]

[tex]\\[/tex]

[tex]D = - \dfrac{3}{8} - \dfrac{5}{8} \times \dfrac{7}{9}[/tex]

[tex]D = - \dfrac{3}{8} - \dfrac{35}{72}[/tex]

[tex]D = \dfrac{- 27 - 35}{72} [/tex]

[tex]D = \dfrac{- 62}{72} [/tex]

[tex]\green{D = - \dfrac{ 31}{36} }[/tex]

[tex]\rule{6cm}{1mm}[/tex]