E= 3/4+5/4÷ (4/3 - 1/2)

Bonjour,

[tex]E=\dfrac{3}{4}+\dfrac{\dfrac{5}{4}}{\dfrac{4}{3}-\dfrac{1}{2}}\\\\E=\dfrac{3}{4}+\dfrac{\dfrac{5}{4}}{\dfrac{8}{6}-\dfrac{3}{6}}\\\\E=\dfrac{3}{4}+\dfrac{\dfrac{5}{4}}{\dfrac{5}{6}}\\\\\\E=\dfrac{3}{4}+\dfrac{5}{4}\times\dfrac{6}{5}[/tex]

[tex]E=\dfrac{3}{4}+\dfrac{1}{4}\times\dfrac{6}{1}\\\\E=\dfrac{3}{4}+\dfrac{6}{4}\\\\\boxed{E=\dfrac{9}{4}}[/tex]