Bonjour,
Fraction :
[tex]\dfrac{1}{4} + \dfrac{3}{5}[/tex]
[tex]= \dfrac{5}{20} + \dfrac{12}{20}[/tex]
[tex]= \dfrac{17}{20}[/tex]
[tex]\dfrac{7}{12} - \dfrac{1}{4}[/tex]
[tex]=\dfrac{7}{12} - \dfrac{3}{12}[/tex]
[tex]= \dfrac{4}{12} = \dfrac{1}{4}[/tex]
[tex]\dfrac{12}{5} \times \dfrac{15}{4}[/tex]
[tex]=\dfrac{12}{4} \times \dfrac{15}{5}[/tex]
[tex]= 3 \times 3 = 9[/tex]
[tex](\dfrac{5}{3} - \dfrac{3}{4}) \div \dfrac{5}{4}[/tex]
[tex]= (\dfrac{20}{12} - \dfrac{9}{12}) \div \dfrac{5}{4}[/tex]
[tex]= \dfrac{11}{12} \times \dfrac{4}{5}[/tex]
[tex]= \dfrac{11}{5} \times \dfrac{4}{12}[/tex]
[tex]= \dfrac{11}{5} \times \dfrac{1}{3}[/tex]
[tex]= \dfrac{11}{15}[/tex]
[tex]\dfrac{3}{2} - (\dfrac{5}{4} + \dfrac{31}{3})[/tex]
[tex]= \dfrac{3}{2} - (\dfrac{15}{12} + \dfrac{124}{12})[/tex]
[tex]= \dfrac{3}{2} - (\dfrac{139}{12})[/tex]
[tex]= \dfrac{18}{12} - (\dfrac{139}{12})[/tex]
[tex]= \dfrac{-121}{12}[/tex]
[tex](\dfrac{7}{3} + \dfrac{1}{2}) \div (\dfrac{2}{3} - \dfrac{3}{2})[/tex]
[tex]= (\dfrac{14}{6} + \dfrac{3}{6}) \div (\dfrac{4}{6} - \dfrac{9}{6})[/tex]
[tex]= \dfrac{17}{6} \div (\dfrac{-5}{6})[/tex]
[tex]= \dfrac{17}{6} \times \dfrac{-6}{5}[/tex]
[tex]= \dfrac{-6}{6} \times \dfrac{17}{5}[/tex]
[tex]= \dfrac{-17}{5}[/tex]
