a)
[tex]\frac{8}{9} - \frac{5}{9} +\frac{3}{9} = \frac{6}{9} = \frac{2}{3}[/tex] (simplificam prin 3)
b)
[tex]\frac{11}{35} + \frac{15}{35} - \frac{1}{35} = \frac{25}{35} = \frac{5}{7}[/tex] (simplificam prin 5)
c)
[tex]\frac{17}{36} + \frac{25}{36} - \frac{5}{36} - \frac{19}{36} = \frac{18}{36} = \frac{1}{2}[/tex] (simplificam prin 18)
d)
[tex]\frac{71}{90} - \frac{22}{90} + \frac{17}{90} - \frac{6}{90} = \frac{60}{90} = \frac{6}{9} = \frac{2}{3}[/tex] (simplificam prin 3)
e)
[tex]\frac{21}{33} - \frac{12}{33} + \frac{15}{33} - \frac{2}{33} = \frac{22}{33} = \frac{2}{3}[/tex] (simplificam prin 11)
f)
[tex]\frac{37}{19} - \frac{21}{19} + \frac{15}{19} + \frac{5}{19} = \frac{36}{19}[/tex] (19 este prim, nu putem simplifica)
g)
[tex]\frac{x}{2*x+1} + \frac{1}{2*x+1} + \frac{3*x+1}{2*x+1} = \frac{4*x+2}{2*x+1} = \frac{2(2*x+1)}{2*x+1} = \frac{2}{1} = 2[/tex] (simplificam prin (2*x+1))
h)
[tex]\frac{3*a + 2*b}{a+b} + \frac{2*a + 3*b}{a+b} = \frac{5*a + 5*b}{a+b} = \frac{5(a+b)}{a+b} = \frac{5}{1} = 5[/tex] (simplificam prin (a+b))
La toate adunam numaratorii (ce e sus), si cand ajungem la o singura fractie simplificam pana ajungem la o forma ireductibila
