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ma poate ajuta cineva? 1/5+2/5+3/5+4/5+.....9/5= cu explicație va rog.

Răspuns :

Salut,

[tex] \frac{1}{5} + \frac{2}{5} + \frac{3}{5} + \frac{4}{5} + ... \frac{9}{5} = > \frac{1}{5} + \frac{2}{5} + \frac{3}{5} + \frac{4}{5} + \frac{5}{5} + \frac{6}{5} + \frac{7}{5} + \frac{8}{5} + \frac{9}{5} = [/tex]

Numitorii dacă sunt comuni, rămân aceeași... doar la rezultat putem să simplificăm fracția până la o fracție ireductibilă.

[tex] \frac{1}{5} + \frac{2}{5} + \frac{3}{5} + \frac{4}{5} + \frac{5}{5} + \frac{6}{5} + \frac{7}{5} + \frac{8}{5} + \frac{9}{5} = \\ \\ \frac{3}{5} + \frac{3}{5} + \frac{4}{5} + \frac{5}{5} + \frac{6}{5} + \frac{7}{5} + \frac{8}{5} + \frac{9}{5} = \\ \\ \frac{6}{5} + \frac{4}{5} + \frac{5}{5} + \frac{6}{5} + \frac{7}{5} + \frac{8}{5} + \frac{9}{5} = \\ \\ \frac{10}{5} + \frac{5}{5} + \frac{6}{5} + \frac{7}{5} + \frac{8}{5} + \frac{9}{5} = \\ \\ \frac{15}{5} + \frac{6}{5} + \frac{7}{5} + \frac{8}{5} + \frac{9}{5} \: = \\ \\ \frac{21}{5} + \frac{7}{5} + \frac{8}{5} + \frac{9}{5} \: = \\ \\ \frac{28}{5} + \frac{8}{5} + \frac{9}{5} = \\ \\ \frac{36}{5} + \frac{9}{5} = \\ \\ \frac{45}{5} ⇒ \: 9[/tex]

Răspuns ⇒ 9

Mult Succes !
By PennyLearn !

1/5 = 0.2

2/5 = 0.4

3/5 = 0.6

4/5 = 0.8

5/5 = 1

6/5 = 1 + 0.2 = 1.2

7/5 = 1 + 0.4 = 1.4

8/5 = 1 + 0.6 = 1.6

9/5 = 1 + 0.8 = 1.8

0.2 + 0.4 + 0.6 + 0.8 + 1 + 1.2 + 1.4 + 1.6 + 1.8 = 9