Question

FAVOR RESOLVER [1/2(5/6-1/2) ]/[(2/3+4/5 ]

Answer 1

$\left[ \frac{1}{2}( \frac{5}{6}- \frac{1}{2}) \right] : \left[ ( \frac{2}{3}+ \frac{4}{5}) \right]= \\ \\ \left[ \frac{1}{2}( \frac{5}{6}- \frac{3}{6}) \right] : \left[ ( \frac{10}{15}+ \frac{12}{15}) \right]= \\ \\ \left[ \frac{1}{2}( \frac{5-3}{6} \right] : \left[ ( \frac{10+12}{15} ) \right]= \\ \\ \left[ \frac{1}{2}( \frac{2}{6}) \right] : \left[ ( \frac{22}{15}) \right]= \\ \\ \left[ \frac{1*2}{2*6} \right] : \left[ ( \frac{22}{15}) \right]=$

$\left[ \frac{1}{6} \right] : \left[ \frac{22}{15} \right]= \frac{1*15}{6*22}= \frac{5}{2*22}= \boxed{ \frac{5}{44}}$

Espero que te sirva, salu2!!!!