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5/6 + 7/3 - 2 3/4 = ?va rog repede

Răspuns :


[tex] \frac{5}{6} + \frac{7}{3} - 2 \frac{3}{4} = \frac{5}{12} \\ \\ \frac{5}{6} + \frac{7}{3} = \frac{5}{6} + \frac{7 \times 2}{3 \times 2} = \frac{5}{6} + \frac{14}{6} = \frac{5 + 14}{6} = \frac{19}{6} \\ \\ 2 \frac{3}{4} = \frac{2 \times 4 + 3}{4} = \frac{11}{4} \\ \\ \frac{19}{6} - \frac{11}{4} = \frac{19 \times 2}{6 \times 2} - \frac{11 \times 3}{4 \times 3} = \frac{38}{12} - \frac{33}{12} = \frac{38 - 33}{12} = \frac{5}{12} [/tex]