Produit et quotient des nombres rationnels exercices corrigés 2AC

$\mathrm{A}=\frac{2}{5} \times \frac{5}{3}$
$\mathrm{A}=\frac{2 \times 5}{5 \times 3}$
$\mathrm{A}=\frac{2}{3}$

$B=\frac{3}{7} \times \frac{4}{-3}$
$B=-\frac{3 \times 4}{7 \times 3}$
$B=-\frac{4}{7}$

$C=\frac{6}{-5} \times \frac{-7}{-6}$
$C=-\frac{6 \times 7}{5 \times 6}$
$C=-\frac{7}{5}$

$\mathrm{D}=\frac{9}{-11} \times \frac{-7}{18}$ 
$\mathrm{D}=+\frac{9 \times 7}{11 \times 18}$ 
$\mathrm{D}=\frac{9}{11 \times 7}$ 
$\mathrm{D}=\frac{7}{22}$

$E=\frac{-9}{4} \times \frac{-2}{5}$ 
$E=+\frac{9 \times 2}{4 \times 5}$ 
$E=\frac{9 \times 2}{2 \times 2 \times 5}$ 
$E=\frac{9}{10}$

$F=\frac{3}{-4} \times \frac{8}{-7}$ 
$F=+\frac{3 \times 8}{4 \times 7}$ 
$F=\frac{3 \times 4 \times 2}{4 \times 7}$ 
$F=\frac{6}{7}$

$\mathrm{G}=\frac{-4}{5} \times \frac{-7}{6}$ 
$\mathrm{G}=+\frac{4 \times 7}{5 \times 6}$ 
$\mathrm{G}=\frac{2 \times 2 \times 7}{5 \times 3 \times 2}$ 
$\mathrm{G}=\frac{14}{15}$

$\mathrm{H}=\frac{7}{-10} \times \frac{-15}{-2}$
$\mathrm{H}=-\frac{7 \times 15}{10 \times 2}$ 
$\mathrm{H}=-\frac{7 \times 5 \times 3}{5 \times 2 \times 2}$
$\mathrm{H}=-\frac{21}{4}$

$I=\frac{-21}{-2} \times \frac{-5}{-28}$ 
$I=+\frac{21 \times 5}{2 \times 28}$ 
$I=\frac{7 \times 3 \times 5}{2 \times 7 \times 4}$ 
$I=\frac{15}{8}$

$\mathrm{J}=\frac{-2}{35} \times \frac{-25}{6}$ 
$\mathrm{~J}=+\frac{2 \times 25}{35 \times 6}$ 
$\mathrm{~J}=\frac{2 \times 5 \times 5}{7 \times 5 \times 2 \times 3}$ 
$\mathrm{~J}=\frac{5}{21}$

$\mathrm{K}=\frac{21}{-8} \times \frac{-22}{15}$ 
$\mathrm{~K}=\frac{21 \times 22}{8 \times 15}$ 
$\mathrm{~K}=\frac{3 \times 7 \times 2 \times 11}{2 \times 4 \times 3 \times 5}$ 
$\mathrm{~K}=\frac{77}{20}$

$\mathrm{L}=-\frac{-6}{-15} \times \frac{-20}{-8}$ 
$\mathrm{~L}=-\frac{6 \times 20}{15 \times 8}$ 
$\mathrm{~L}=-\frac{2 \times 3}{3 \times 5} \times 5 \times 4$ 
$\mathrm{~L}=-1$

$M=\frac{2}{-3} \times \frac{-11}{5} \times \frac{-5}{7}$ 
$M=-\frac{2 \times 11 \times 5}{3 \times 5 \times 7}$ 
$M=-\frac{22}{21}$

$\mathrm{N}=\frac{-3}{-4} \times \frac{-5}{-2} \times \frac{4}{3}$ 
$\mathrm{~N}=+\frac{3}{4} \times 5 \times 2 \times \frac{4}{3}$ 
$\mathrm{~N}=\frac{5}{2}$

$O=\frac{-2}{-11} \times \frac{-5}{-6} \times \frac{-3}{35}$ 
$O=-\frac{2 \times 5 \times 3}{11 \times 6 \times 35}$ 
$O=-\frac{2 \times 5 \times 3}{11 \times 2 \times 3 \times 7 \times 5}$ 
$O=-\frac{1}{77}$

$\mathrm{P}=\frac{-4}{15} \times\left(-\frac{-21}{-6}\right) \times \frac{-10}{14}$ 
$\mathrm{P}=-\frac{4 \times 21 \times 10}{15 \times 6 \times 14}$ 
$\mathrm{P}=-\frac{2 \times 2 \times 7 \times 3}{3 \times 5 \times 2 \times 2} \times 2 \times 2 \times 2$ 
$\mathrm{P}=-\frac{2}{3}$

$\mathrm{Q}=\frac{8}{25} \times \frac{77}{6} \times\left(-\frac{20}{88}\right)$ 
$\mathrm{Q}=-\frac{8 \times 77 \times 20}{25 \times 6 \times 88}$ 
$\mathrm{Q}=-\frac{8 \times \times 11 \times 7 \times 5 \times 4}{5 \times 5 \times 6 \times 8} \times \frac{11}{5}$ 
$\mathrm{Q}=-\frac{7 \times 2 \times 2}{5 \times 3 \times 2}$ $\mathrm{Q}=-\frac{14}{15}$

$R=\frac{23}{51} \times \frac{-13}{-19} \times \frac{-7}{9} \times \frac{0}{34}$ 
$R=-\frac{23 \times 13 \times 7 \times 0}{51 \times 19 \times 9 \times 34}$ 
$R=0$