Question

dau coroana!!!! EXERCITIUL 7​

Answer 1

Răspuns:

$7. \: a) \: ( - \frac{1}{2} ) - ( - \frac{1}{3} ) + (( - \frac{1}{6} ) + ( + \frac{1}{12} )) = \\ = (intai \: scoatem \: din \: paranteze) = \\ = - \frac{1}{2} + \frac{1}{3} + ( - \frac{1}{6} + \frac{1}{12} ) = \\ = (acuma \: aducem \: la \: acelasi \: numitor \: iar \: numitorul \: lor \: comun \: este \: 12 \: asa \: ca \: prima \: fractie \: o \: amplificam \: cu \: 6 \: a \: doua \: cu \: 4 \: a \: treia \: cu \: 2 \: iar \: a \: patra \: o \: lasam \: asa \: cum \: este = \\ = - \frac{6}{12} + \frac{4}{12} + ( - \frac{2}{12} + \frac{1}{12} ) = \\ = \frac{ - 6 + 4}{12} + ( \frac{ - 2 + 1}{12} ) = \\ = - \frac{2}{12} - \frac{1}{12} = \\ = \frac{ - 2 - 1}{12} = \\ = - \frac{3}{12} = \\ = (acuma \: vom \: simplifica \: fractia \: cu \: 3) = \\ = - \frac{1}{4}$

Explicație pas cu pas:

$c) \: - \frac{7}{36} + ( - \frac{2}{9} - \frac{5}{18} - \frac{1}{2} ) = \\ = - \frac{7}{36} + ( - \frac{8}{36} - \frac{10}{36} - \frac{18}{36} ) = \\ = - \frac{7}{36} + ( \frac{ - 8 - 10 - 18}{36} ) = \\ = - \frac{7}{36} + ( - \frac{36}{36} ) = \\ = - \frac{7}{36} - \frac{36}{36} = \\ = \frac{ - 7 - 36}{36} = \\ = - \frac{29}{36}$

Sper ca te-am ajutat!

Answer 2

Răspuns:

$-\frac{1}{2} -\frac{1}{3} +[(-\frac{1}{6}+(+\frac{1}{12})]= \\\\Avem [(-\frac{1}{6}+(+\frac{1}{12})], amplifici-prima- fractie -cu -2- si- o -sa-ti -dea \frac{-2+1}{12} , adica (-\frac{1}{12}). \\Ne- intoarcem -la- primele- doua -fractii-, anume -\frac{1}{2}-\frac{1}{3} -\frac{1}{12} \\Amplificam- prima -fractie -cu -6 si- a -doua- cu- 4. Rezultat: -\frac{6+4+1}{12}=-\frac{11}{12}$

$(-\frac{7}{36})+[(-\frac{2}{9} )+(-\frac{5}{18})-(+\frac{1}{2})]\\(-\frac{7}{36})+(-\frac{2}{9}-\frac{5}{18} +\frac{1}{2})\\Revenim-la-cele-3-fractii-din-acea-parantea-si-amplificam-prima-cu-2-si-a-treia-cu-9. Vom-avea:\\(-\frac{7}{36} )+\frac{-4-5+9}{18} = (-\frac{7}{36} )+0(pentru-ca-0-supra-18-da-0)\\=(-\frac{7}{36} )$

  Sper ca n-am omis nimic, este prima data cand folosesc aceasta rubrica numita "ecuatii". Cineva sa-mi spuna totusi daca e bine ce-am facut...:)