Question

Necesito ayuda con estas operaciónes combinadas de divisiones de fracciones​

Answer 1

Explicación paso a paso:

$\frac{8}{3} - \frac{2}{5} \div \frac{1}{6} = \frac{8}{3} - \frac{2}{5} \times 6 = \frac{8}{3} - \frac{12}{5} = \frac{40}{15} - \frac{36}{15} = \frac{4}{15}$

$\frac{7}{2} \times \frac{2}{3} \div \frac{1}{4} = \frac{7}{2} \times \frac{2}{3} \times 4 = \frac{28}{3}$

$\frac{5}{3} \div ( \frac{2}{5} - \frac{1}{6} ) = \frac{5}{3} \div ( \frac{12}{30} - \frac{5}{30} ) = \frac{5}{3} \div \frac{7}{30} = \frac{5}{3} \times \frac{30}{7} = \frac{50}{7}$

$\frac{8}{5} - ( \frac{3}{4} \div \frac{2}{3} ) + \frac{3}{8} = \frac{8}{5} - ( \frac{3}{4} \times \frac{3}{2} ) + \frac{3}{8} = \frac{8}{5} - \frac{9}{8} + \frac{3}{8} = \frac{64}{40} - \frac{45}{40} + \frac{15}{40} = \frac{34}{40} = \frac{17}{20}$

$\frac{11}{8} \div ( \frac{3}{4} - \frac{1}{2} ) + \frac{5}{6} = \frac{11}{8} \div ( \frac{3}{4} - \frac{2}{4} ) + \frac{5}{6} = \frac{11}{8} \div \frac{1}{4} + \frac{5}{6} = \frac{11}{8} \times 4 + \frac{5}{6} = \frac{11}{2} + \frac{5}{6} = \frac{33}{6} + \frac{5}{6} = \frac{38}{6} = \frac{19}{3}$