Question

8) Calculate (2 2/5 - 1 2/5 - 1/6) : [0,2(3) • 10/7 + 1/2] totul la puterea 2
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Answer 1

Răspuns:

$(2 \frac{2}{5} - 1 \frac{2}{5} - \frac{1}{6} ) \div ((0.2(3) \times \frac{10}{7} + \frac{1}{2} ) ^{2} = \\ = ( \frac{2 \times 5 + 2}{5} - \frac{1 \times 5 + 2}{5} - \frac{1}{6} ) \div ( \frac{23 - 2}{90} \times \frac{10}{7} + \frac{1}{2} ) ^{2} = \\ = ( \frac{12}{5} - \frac{7}{5} - \frac{1}{6} ) \div ( \frac{21}{90} \times \frac{10}{7} + \frac{1}{2} ) ^{2} = \\ = ( \frac{5}{5} - \frac{1}{6} ) \div ( \frac{3}{9} \times 1 + \frac{1}{2} ) ^{2} = \\ = ( \frac{30}{30 } - \frac{5}{30} ) \div ( \frac{1}{3} + \frac{1}{2} ) ^{2} = \\ = \frac{25}{30} \div ( \frac{2}{6} + \frac{3}{6} ) ^{2} = \\ = \frac{25}{30} \div {( \frac{5}{6} })^{2} = \frac{25}{30} \div \frac{25}{36} = \frac{5}{6} \times \frac{36}{25} = 1 \times \frac{6}{5} = \frac{6}{5}$