Question

VA ROG MULT MULT MULT MULTTT DAU SI COROANĂ ,toate punctele dar fără punctul a. și b.​

Answer 1

$a) \frac{ \frac{1}{3} }{2} = \frac{6}{x} = > x \times \frac{1}{3} = 6 \times 2 = > \\ \frac{x}{3} = 12 = > x = 12 \times 3 = > x = 36$

$c) \frac{ \frac{1}{2} + \frac{1}{2} \div 2 }{x} = \frac{6}{7} = > \\ \frac{ \frac{1}{2} + \frac{1}{2} \times \frac{1}{2} }{x} = \frac{6}{7} = > \\ \frac{ \frac{1}{2} + \frac{1}{4} }{x} = \frac{6}{7} = > \frac{ \frac{2}{4} + \frac{1}{4} }{x} = \frac{6}{7} = > \\ \frac{ \frac{3}{4} }{x} = \frac{6}{7} = > 6 \times x = \frac{3}{4} \times 7 = > \\ 6 \times x = \frac{21}{4} = > 6x \times 4 = 21 = > \\ 24x = 21 = > x = \frac{21}{24} = \frac{7}{8}$

$d) \frac{ \frac{2}{5} }{x} = \frac{ \frac{1}{4} }{10} = > \frac{2}{5} \times 10 = \frac{1}{4} \times x = > \\ \frac{20}{5} = \frac{x}{4} = > 4 = \frac{x}{4} = > x = 16$

$e) \frac{0.(3)}{0.0(5)} = \frac{x}{ 2\frac{1}{6} } = > \frac{ \frac{3}{9} }{ \frac{5}{90} } = \frac{x}{ \frac{2 \times 6 + 1}{6} } = > \\ \frac{ \frac{1}{3} }{ \frac{1}{18} } = \frac{x}{ \frac{13}{6} } = > \frac{1}{3} \times \frac{13}{6} = \frac{x}{18} = > \\ \frac{13}{18} = \frac{x}{18} = > x = 13$

$f) \frac{ 15 \div \frac{5}{3} }{ {2}^{3} } = \frac{x}{ \frac{1}{4} \times (1 + \frac{1}{3}) } = > \\ \frac{ 15 \times \frac{3}{5} }{8} = \frac{x}{ \frac{1}{4} + \frac{1}{12} } = > \frac{9}{8} = \frac{x}{ \frac{3}{12} + \frac{1}{12} } = > \\ \frac{9}{8} = \frac{x}{ \frac{4}{12} } = > \frac{9}{8} = \frac{x}{ \frac{1}{3} } = > \\ 9 \times \frac{1}{3} = 8 \times x = > 3 = 8 \times x = > \\ x = \frac{3}{8}$

$g) \frac{ 1\frac{1}{2} }{x} = \frac{4}{0.2} = > \frac{ \frac{1 \times 2 + 1}{2} }{x} = \frac{4}{ \frac{2}{10} } = > \\ \frac{ \frac{3}{2} }{x} = \frac{4}{ \frac{1}{5} } = > \frac{3}{2} \times \frac{1}{5} = 4 \times x = > \\ \frac{3}{10} = 4 \times x = > 4 \times x \times 10 = 3 = > \\ 40 \times x = 3 = > x = \frac{3}{40}$

$h) \frac{0.2}{0.(6)} = \frac{0.18}{x} = > \frac{ \frac{2}{10} }{ \frac{6}{9} } = \frac{ \frac{18}{99} }{x} = > \\ \frac{ \frac{1}{5} }{ \frac{2}{3} } = \frac{ \frac{2}{11} }{x} = > x \times \frac{1}{5} = \frac{2}{3} \times \frac{2}{11} = > \\ \frac{x}{5} = \frac{4}{33} = > x = \frac{5 \times 4}{33} = > x = \frac{20}{33}$

$b) \frac{ \frac{1}{0.6} }{0.2} = \frac{x}{0.6} = > \\ \frac{1}{ 0.6} \times 0.6 = 0.2 \times x = > \\ 1 = \frac{2}{10} \times x = > \\ 1 = \frac{1}{5} \times x = > 1 = \frac{x}{5} = > x = 5$