Question

17 PUNCTE SI COROANA CLASA 6

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$a) \: \: \frac{ \frac{5}{10 } \times \frac{6}{9} }{ \frac{3}{9} }$
$b) \: \: \frac{ \frac{5}{10} \times \frac{15}{9} }{ \frac{3}{9} }$
Rezolvarea va rogg

Answer 1

$a) \frac{ \frac{5}{10} \times \frac{6}{9} }{ \frac{3}{9} } = \frac{ \frac{5 \times 6}{10 \times 9} }{ \frac{3}{9} } = \frac{ \frac{30}{90} }{ \frac{3}{9} } = \frac{ \frac{3}{9} }{ \frac{3}{9} } = \frac{ \frac{1}{3} }{ \frac{1}{3} } \\\\= \frac{1}{3} \times 3 = \frac{1 \times 3}{3} = \frac{3}{3} = 1$

$b) \frac{ \frac{5}{10} \times \frac{15}{9} }{ \frac{3}{9} } = \frac{ \frac{5 \times 15}{10 \times 9} }{ \frac{3}{9} } = \frac{ \frac{75}{90} }{ \frac{3}{9} } = \frac{ \frac{15}{18} }{ \frac{1}{3} } = \frac{ \frac{5}{6} }{ \frac{1}{3} }\\\\ = \frac{5}{6} \times 3 = \frac{5 \times 3}{6} = \frac{15}{6} = \frac{5}{2}$

Answer 2

$a) \frac{ \frac{5}{10} \times \frac{6}{9} }{ \frac{3}{9} } = \frac{ \frac{1}{2} \times \frac{2}{3} }{ \frac{1}{ 3} } = \frac{ \frac{1}{3} }{ \frac{1}{3} } = 1 \\ \\ b) \frac{ \frac{5}{10} \times \frac{15}{9} }{ \frac{3}{9} } = \frac{ \frac{1}{2} \times \frac{5}{3} }{ \frac{3}{9} } = \frac{ \frac{5}{6} }{ \frac{3}{9} } = \frac{5}{2}$