Explicație pas cu pas:
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[tex]a) \: ( \frac{7}{2} \div 2 \frac{1}{3} ) \div \frac{2}{3} = ( \frac{7}{2} \div \frac{2 \times 3 + 1}{3}) \div \frac{2}{3} = ( \frac{7}{2} \div \frac{7}{3} ) \div \frac{2}{3} = ( \frac{7}{2} \times \frac{3}{7} ) \times \frac{3}{2} = \frac{21}{14} \times \frac{3}{2} = \frac{21 \times 3}{14 \times 2} = \frac{63}{28} ^{(7} = \red{ \frac{9}{4} }[/tex]
[tex]b) \: (5 \frac{2}{3} \div 5 \frac{1}{4} ) \div 4 \frac{6}{7} = ( \frac{5 \times 3 + 2}{3} \div \frac{5 \times 4 + 1}{4}) \div \frac{4 \times 7 + 6}{7} = ( \frac{17}{3} \div \frac{21}{4} ) \div \frac{34}{7} = ( \frac{17}{3} \times \frac{4}{21} ) \times \frac{7}{34} = \frac{68}{63} \times \frac{7}{34} = \frac{476}{2142} ^{(2} = \frac{238}{1071} ^{(7} = \frac{34}{153} ^{(17} = \red{ \frac{2}{9} }[/tex]
Succes!;)
