Question

[(3/4+1/5-1/2)*5/6]:4/9​

Answer 1

$[(\frac{3}{4} + \frac{1}{5} - \frac{1}{2}) X \frac{5}{6}] : \frac{4}{9} = \frac{27}{32}$

Mai intai facem operatiile din paranteza rotunda.

$\frac{3}{4} + \frac{1}{5} - \frac{1}{2} = \frac{15}{20} + \frac{4}{20} -\frac{1}{2} = \frac{19}{20} - \frac{1}{2} = \frac{19}{20} -\frac{10}{20} = \frac{9}{20}$

Aici mai intai am amplificat adunarea cu 5 si 4 iar apoi am amplificat 1/2 cu 10.

Si acum ultimile operatii:

$[\frac{9}{20} X \frac{5}{6}] : \frac{4}{9} =[\frac{9}{4} X \frac{1}{6} ] : \frac{4}{9} = \frac{3}{9} : \frac{4}{9} = \frac{3}{8} X \frac{9}{4} = \frac{27}{32}$

Aici mai intai am facut inmultirea unde am simplificat 20 si 5 cu 5, apoi am facut impartirea.