Cours Fractions, puissances
Exercice d'application

Exercice : Calcul numérique

Calcule puis simplifie si possible : 

$A = \dfrac{4}{3}-\dfrac{-3}{6}$

$B = \dfrac{-2}{3}+\dfrac{3}{4}$

$C = 1 - \dfrac{5}{-7}$

$D = \dfrac{-34}{11}+3$

$E = \dfrac{-7}{25}+\dfrac{3}{15}$

$F = \dfrac{1}{2}-\dfrac{-1}{6}+\dfrac{4}{9}+\dfrac{5}{-6}$

$G = \dfrac{4}{7}-\left(\dfrac{2}{7}+\dfrac{1}{5}\right)$

$A = \dfrac{8}{6}+\dfrac{3}{6}=\dfrac{11}{6}$

$B = \dfrac{-8}{12}+\dfrac{9}{12}=\dfrac{1}{12}$

$C = 1 - \dfrac{5}{-7}=\dfrac{7}{7}+\dfrac{5}{7}=\dfrac{12}{7}$

$D = \dfrac{-34}{11}+\dfrac{33}{11}= -\dfrac{1}{11}$

$E = \dfrac{-21}{75}+\dfrac{15}{75}= \dfrac{-6}{75}$

$E=\dfrac{-2}{25}$

$F = \dfrac{9}{18}+\dfrac{3}{18}+\dfrac{8}{18}-\dfrac{15}{18}$

$F =\dfrac{5}{18}$

$G = \dfrac{4}{7}-\left(\dfrac{10}{35}+\dfrac{7}{35}\right)$

$G =\dfrac{4}{7}-\dfrac{17}{35}$

$G =\dfrac{20}{35}-\dfrac{17}{35}$

$G =\dfrac{3}{35}$