Răspuns:
[tex]\displaystyle 6,(3) \ : \ (-38) - 1\frac{3}{4} \ : \ ( - 4\frac{2}{3} )\ = \ \frac{63 - 6}{9} \ : \ (-38) \ - \ \frac{1 \cdot 4 + 3}{4} \ : \ ( - \frac{4 \cdot 3 + 2}{3} ) \ = \ \frac{57}{9} \ \cdot \ (- \frac{1}{38} ) \ - \ \frac{7}{4} \ \cdot \ ( - \frac{3}{14}) \ = \ - \frac{57}{342} \ + \ \frac{3}{8} \ = - \frac{1}{6} \ + \ \frac{3}{8} \ = \ - \frac{4}{24} \ + \frac{9}{24} \ = \ \boxed{\frac{5}{24 }}[/tex]
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