Question

3. Efectuati calculele si prezentati rezultatul sub forma unei fractii ireductibile:
dau coroană și 15 de puncte vă rog​

Answer 1

a)

$\frac{8}{9} - \frac{5}{9} +\frac{3}{9} = \frac{6}{9} = \frac{2}{3}$    (simplificam prin 3)

b)

$\frac{11}{35} + \frac{15}{35} - \frac{1}{35} = \frac{25}{35} = \frac{5}{7}$     (simplificam prin 5)

c)

$\frac{17}{36} + \frac{25}{36} - \frac{5}{36} - \frac{19}{36} = \frac{18}{36} = \frac{1}{2}$     (simplificam prin 18)

d)

$\frac{71}{90} - \frac{22}{90} + \frac{17}{90} - \frac{6}{90} = \frac{60}{90} = \frac{6}{9} = \frac{2}{3}$      (simplificam prin 3)

e)

$\frac{21}{33} - \frac{12}{33} + \frac{15}{33} - \frac{2}{33} = \frac{22}{33} = \frac{2}{3}$      (simplificam prin 11)

f)

$\frac{37}{19} - \frac{21}{19} + \frac{15}{19} + \frac{5}{19} = \frac{36}{19}$       (19 este prim, nu putem simplifica)

g)

$\frac{x}{2*x+1} + \frac{1}{2*x+1} + \frac{3*x+1}{2*x+1} = \frac{4*x+2}{2*x+1} = \frac{2(2*x+1)}{2*x+1} = \frac{2}{1} = 2$     (simplificam prin (2*x+1))

h)

$\frac{3*a + 2*b}{a+b} + \frac{2*a + 3*b}{a+b} = \frac{5*a + 5*b}{a+b} = \frac{5(a+b)}{a+b} = \frac{5}{1} = 5$       (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