Question

FACETI ACEST CALCUL. [0,(6)+0,3(18)+0,(6)+0,2]÷4=
Dau coroana​

Answer 1

Răspuns:

$(0.(6) + 0.3(18) + 0.(6) + 0.2) \div 4 = \\ = ( \frac{6}{9} + \frac{318 - 3}{990} + \frac{6}{9} + \frac{2}{10} ) \div 4 = \\ = ( \frac{12}{9} + \frac{315}{990} + \frac{2}{10} ) \div 4 = \\ = ( \frac{12 \times 110}{990} + \frac{315}{990} + \frac{2 \times 99}{990} ) \div 4 = \\ = ( \frac{1320}{990} + \frac{315}{990} + \frac{198}{990} ) \div 4 = \\ = \frac{1833}{990} \times \frac{1}{4} = \frac{611}{330} \times \frac{1}{4} = \frac{611}{1320}$

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