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calculeaza: a) 3/6+4/12+1/4 b) 2/3-1/5 c) 7/15+3/6+2/5 d)2/25×7/5 e) 3 2/5×15/34 f) 24/5:8/15 g)(3/7)​²

Răspuns :

a).

[tex] \frac{2)3}{2)6} + \frac{4}{12} = \frac{6}{12} + \frac{4}{12} = \frac{10(2}{12(2} = \frac{5}{6} [/tex]

" ( " înseamnă împărțire, simplificare.

" )" înseamnă înmulțire, amplificare.

d).

[tex] \frac{1)2}{1)25} \times \frac{5)7}{5)5} = \frac{2}{25} \times \frac{35}{25} = \frac{75}{25} = 3[/tex]

b).

[tex] \frac{5)2}{5)3} - \frac{3)1}{3)5} = \frac{10}{15} - \frac{3}{15} = \frac{7}{15} [/tex]

c).

[tex] \frac{2)7}{2)15} + \frac{5)3}{5)6} + \frac{6)2}{6)5} = \frac{14}{30} + \frac{15}{30} + \frac{12}{30} = \frac{29}{30} + \frac{12}{30} = \frac{41}{30} [/tex]

e).

[tex]3 \: \frac{2}{5} \times \frac{15}{34} = \frac{3 \times 5 + 2}{5} \times \frac{15}{34} = \frac{17}{5} \times \frac{15}{34} = \frac{3}{2} = 1.5[/tex]

f).

[tex] \frac{24}{5} \div \frac{8}{15} = \frac{24}{5} \times \frac{15}{8} = \frac{24 \div 8}{15 \div 5} = \frac{3}{3} = 1[/tex]

g).

[tex]( \frac{3}{7} ) {}^{2} = \frac{3 \times 3}{7 \times 7} = \frac{9}{49} [/tex]