Operaciones combinadas con valor absoluto Nivel avanzado

$$ -\left|5,\bar{3} + 7,3 \div 2 \right| \cdot \left|1,25 – 0,1\bar{2} \right| $$

$$ -\left|\frac{16}{3} + \frac{73}{10} \div 2 \right| \cdot \left|\frac{5}{4} – \frac{11}{90} \right| $$

$$ -\left|\frac{16}{3} + \frac{73}{10} \cdot \frac{1}{2} \right| \cdot \left|\frac{5}{4} – \frac{11}{90} \right| $$

$$ -\left|\frac{16}{3} + \frac{73}{20} \right| \cdot \left|\frac{5}{4} – \frac{11}{90} \right| $$

$$ -\left|\frac{16}{3} \cdot \frac{20}{20} + \frac{73}{20} \cdot \frac{3}{3} \right| \cdot \left|\frac{5}{4} \cdot \frac{45}{45} – \frac{11}{90} \cdot \frac{2}{2} \right| $$

$$ -\left|\frac{320}{60} + \frac{219}{60} \right| \cdot \left|\frac{225}{180} – \frac{22}{180} \right| $$

$$ -\left|\frac{539}{60} \right| \cdot \left|\frac{203}{180} \right| $$

$$ – \frac{539}{60} \cdot \frac{203}{180} $$

$$ \boxed{- \frac{109.417}{10.800}} $$

$$ \left|\frac{5}{3} + \frac{11}{3} \right| – \left|\frac{1}{6} – 0,\bar{2}\right| $$

$$ \left|\frac{16}{3} \right| – \left|\frac{1}{6} – \frac{2}{9}\right| $$

$$ \left|\frac{16}{3} \right| – \left|\frac{1}{6} \cdot \frac{3}{3} – \frac{2}{9} \cdot \frac{2}{2} \right| $$

$$ \left|\frac{16}{3} \right| – \left|\frac{3}{18} – \frac{4}{18}\right| $$

$$ \left|\frac{16}{3} \right| – \left| – \frac{1}{18}\right| $$

$$ \frac{16}{3} – \frac{1}{18} $$

$$ \frac{16}{3} \cdot \frac{6}{6} – \frac{1}{18} $$

$$ \frac{96}{18} – \frac{1}{18} $$

$$ \boxed{\frac{95}{18}} $$

$$ |3,5 + (-1,2)| + |9,2 – 1,3| \cdot (-5) $$

$$ |2,3| + |7,9| \cdot (-5) $$

$$ 2,3 + 7,9 \cdot (-5) $$

$$ 2,3 + (-39,5) $$

$$ \boxed{-37,2} $$

$$ \left (1,1 – \frac{3}{6} \right ) \cdot \left|0,\bar{5} + \frac{8}{18} \right| \div (-3,2) $$

$$ \left (\frac{11}{10} – \frac{1}{2} \right ) \cdot \left|\frac{5}{9} + \frac{4}{9} \right| \div – \frac{16}{5} $$

$$ \left (\frac{11}{10} – \frac{1}{2} \cdot \frac{5}{5} \right ) \cdot \left|\frac{9}{9} \right| \div – \frac{16}{5} $$

$$ \left (\frac{11}{10} – \frac{5}{10} \right ) \cdot \left| \frac{1}{1} \right| \div – \frac{16}{5} $$

$$ \left (\frac{6}{10} \right ) \cdot \left| \frac{1}{1} \right| \div – \frac{16}{5} $$

$$ \left (\frac{3}{5} \right ) \cdot \left| \frac{1}{1} \right| \div – \frac{16}{5} $$

$$ \frac{3}{5} \cdot \frac{1}{1} \div – \frac{16}{5} $$

$$ \frac{3}{5} \div – \frac{16}{5} $$

$$ \frac{3}{5} \cdot – \frac{5}{16} $$

$$ \frac{3}{\cancel{5}} \cdot – \frac{\cancel{5}}{16} $$

$$ \frac{3}{1} \cdot – \frac{1}{16} $$

$$ \boxed{- \frac{3}{16}} $$

$$ \frac{2}{5} + \left|\frac{1}{3} – 0,5 \right| \cdot 1,8 $$

$$ \frac{2}{5} + \left|\frac{1}{3} – \frac{1}{2} \right| \cdot \frac{9}{5} $$

$$ \frac{2}{5} + \left|\frac{1}{3} \cdot \frac{2}{2} – \frac{1}{2} \cdot \frac{3}{3} \right| \cdot \frac{9}{5} $$

$$ \frac{2}{5} + \left|\frac{2}{6} – \frac{3}{6} \right| \cdot \frac{9}{5} $$

$$ \frac{2}{5} + \left|- \frac{1}{6} \right| \cdot \frac{9}{5} $$

$$ \frac{2}{5} + \frac{1}{6} \cdot \frac{9}{5} $$

$$ \frac{2}{5} + \frac{1 \cdot 9}{6 \cdot 5} $$

$$ \frac{2}{5} + \frac{9}{30} $$

$$ \frac{2}{5} + \frac{9 \div 3}{30 \div 3} $$

$$ \frac{2}{5} + \frac{3}{10} $$

$$ \frac{2}{5} \cdot \frac{2}{2} + \frac{3}{10} $$

$$ \frac{4}{10} + \frac{3}{10} $$

$$ \boxed{\frac{7}{10}} $$

$$ \left|\frac{3}{21} \cdot \frac{49}{8} -\frac{2}{11} \right| \cdot \left|\left ( \frac{6}{36} -0,1 \right ) \cdot (-4) \right| + 7 $$

$$ \left|\frac{1}{7} \cdot \frac{49}{8} -\frac{2}{11} \right| \cdot \left|\left ( \frac{1}{6} – \frac{1}{10} \right ) \cdot (-4) \right| + 7 $$

$$ \left|\frac{1}{\not{7}} \cdot \frac{\not{49}}{8} -\frac{2}{11} \right| \cdot \left|\left ( \frac{1}{6} – \frac{1}{10} \right ) \cdot (-4) \right| + 7 $$

$$ \left|\frac{1}{1} \cdot \frac{7}{8} – \frac{2}{11} \right| \cdot \left|\left ( \frac{1}{6} – \frac{1}{10} \right ) \cdot (-4) \right| + 7 $$

$$ \left|\frac{7}{8} – \frac{2}{11} \right| \cdot \left|\left ( \frac{1}{6} – \frac{1}{10} \right ) \cdot (-4) \right| + 7 $$

$$ \left|\frac{7}{8} \cdot \frac{11}{11} – \frac{2}{11} \frac{8}{8} \right| \cdot \left|\left ( \frac{1}{6} \frac{5}{5} – \frac{1}{10} \frac{3}{3} \right ) \cdot (-4) \right| + 7 $$

$$ \left|\frac{77}{88} – \frac{16}{88} \right| \cdot \left|\left ( \frac{5}{30} – \frac{3}{30} \right ) \cdot (-4) \right| + 7 $$

$$ \left|\frac{61}{88} \right| \cdot \left|\frac{2}{30} \cdot (-4) \right| + 7 $$

$$ \left|\frac{61}{88} \right| \cdot \left|- \frac{8}{30} \right| + 7 $$

$$ \frac{61}{88} \cdot \frac{8}{30} + 7 $$

$$ \frac{61}{\cancel{88}} \cdot \frac{\cancel{8}}{30} + 7 $$

$$ \frac{61}{11} \cdot \frac{1}{30} + 7 $$

$$ \frac{61}{330} + 7 $$

$$ \frac{61}{330} + \frac{7}{1} \cdot \frac{330}{330} $$

$$ \frac{61}{330} + \frac{2.310}{330} $$

$$ \boxed{\frac{2.371}{330}} $$