Question

1. Arătaţi că (7-7*1/6*1/7)*6/41=1​

Answer 1

Răspuns:

$\displaystyle ( 7 \ - \ 7 \ \cdot \ \frac{1}{6} \ \cdot \ \frac{1}{7}) \ \cdot \ \frac{6}{41} \ = \\\\\\\\(7 \ - \ \frac{7}{6} \ \cdot \ \frac{1}{7}) \ \cdot \ \frac{6}{41} \ = \\\\\\(7 \ - \ \frac{1}{6} ) \ \cdot \ \frac{6}{41} \ = \\\\\\\\\frac{42 \ - \ 1}{6} \ \cdot \ \frac{6}{41} \ = \\\\\\\\\frac{41}{6} \ \cdot \ \frac{6}{41} \ = \\\\\\\\\\\boxed{1 }$

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