Bonjour ! J'espère vous aider !
Réponse :
Exercice 2 :
[tex]a. \frac{9}{35} +\frac{6}{35} \\\\= \frac{15}{35} \\\\= \frac{5*3}{5*7} \\\\= \frac{3}{7}[/tex]
[tex]b. \frac{1}{24} +\frac{5}{24} \\\\= \frac{6}{24} \\\\= \frac{2*3}{4*2*3} \\\\= \frac{1}{4}[/tex]
[tex]c. \frac{15}{13}+ \frac{11}{13} \\\\= \frac{26}{13} \\\\= \frac{2*13}{13} \\\\= 2[/tex]
Exercice 3 :
[tex]a. \frac{11}{12} -\frac{5}{12} \\\\= \frac{6}{12} \\\\= \frac{6}{6*2} \\\\= \frac{1}{2}[/tex]
[tex]b. \frac{24}{15} -\frac{4}{15} \\\\= \frac{20}{15} \\\\= \frac{5*4}{5*3} \\\\= \frac{4}{3}[/tex]
[tex]c. \frac{7}{16} -\frac{3}{16} \\\\= \frac{4}{16} \\\\= \frac{4}{4*4} \\\\= \frac{1}{4}[/tex]
Exercice 4 :
a. [tex]\frac{1}{2} = \frac{1*5}{2*5} =\frac{5}{10}[/tex]
La fraction [tex]\frac{1}{2}[/tex] représente [tex]\frac{5}{10}[/tex].
b.
[tex]\frac{1}{2} +\frac{3}{10} \\\\= \frac{5}{10} +\frac{3}{10}\\\\= \frac{8}{10} \\\\= \frac{4*2}{5*2} \\\\= \frac{4}{5}[/tex]
[tex]\frac{1}{2} -\frac{3}{10} \\\\= \frac{5}{10} -\frac{3}{10}\\\\= \frac{2}{10} \\\\= \frac{2}{2*5} \\\\=\frac{1}{5}[/tex]
