Bonjour,
[tex]\frac{9}{14} - \frac{3}{14} - \frac{1}{7}[/tex] = [tex]\frac{9-7}{14} - \frac{1}{7}[/tex] = [tex]\frac{2}{14} - \frac{1}{7}[/tex] = [tex]\frac{2*2}{14*2} - \frac{1*4}{7*4}[/tex] = [tex]\frac{4}{28} - \frac{4}{28}[/tex] = 0
1 - [tex]\frac{9}{34}[/tex]+ [tex]\frac{3}{2}[/tex] = [tex]\frac{1}{1} - \frac{9}{34} + \frac{3}{2}[/tex] = [tex]\frac{34}{34} - \frac{9}{34} + \frac{3}{2}[/tex] = [tex]\frac{34 - 9}{34} + \frac{3}{2}[/tex] = [tex]\frac{25}{34} + \frac{3}{2}[/tex] = [tex]\frac{25 * 2}{34 * 2} + \frac{3 * 34}{2 * 34}[/tex] = [tex]\frac{50}{68} + \frac{102}{68}[/tex] = [tex]\frac{50 + 102}{68}[/tex] = [tex]\frac{152}{68}[/tex] = [tex]\frac{152/2}{68/2}[/tex] = [tex]\frac{76/2}{34/2}[/tex] = [tex]\frac{38}{17}[/tex]
3 * [tex]\frac{5}{2} + 4[/tex] = [tex]\frac{3 * 5}{2} + 4[/tex] = [tex]\frac{15}{2} + 4[/tex] = [tex]\frac{15}{2} + \frac{4}{1}[/tex] = [tex]\frac{15*1}{2*1} + \frac{4*2}{1*2}[/tex] = [tex]\frac{15}{2} + \frac{8}{2}[/tex] = [tex]\frac{15 + 8}{2}[/tex] = [tex]\frac{23}{2}[/tex]
[tex]\frac{5}{2} + \frac{3}{5} * 2[/tex] = [tex]\frac{5}{2} + \frac{6}{5}[/tex] = [tex]\frac{25}{10} + \frac{12}{10}[/tex] = [tex]\frac{37}{10}[/tex]
[tex]\frac{8}{5} - \frac{3}{4}[/tex] = [tex]\frac{8*4}{5*4} - \frac{3*5}{4*5}[/tex] = [tex]\frac{32}{20} - \frac{15}{20}[/tex] = [tex]\frac{17}{20}[/tex]
