Question

calculati (3/4:5/6):(2/9:8/3))+2/×9/4:3/2 =​

Answer 1

Răspuns:

$( \frac{3}{4} \div \frac{5}{6} ) \div ( \frac{2}{9} \div \frac{8}{3})) + \frac{2}{3} \times \frac{9}{4} \div \frac{3}{2}$

$= ( \frac{3}{4} \times \frac{6}{5} ) \div ( \frac{2}{9} \times \frac{3}{8} )) + \frac{2}{3} \times \frac{9}{4} \div \frac{3}{2}$

simplificam 6 si 4 din prima paranteza, cu 2

din a doua paranteza simplificam 2 cu 8 prin 2 si 3 cu 9 prin 3. Dupa aceea obtinem:

$= ( \frac{9}{10} \div \frac{1}{6}) + \frac{2}{3} \times \frac{9}{4} \div \frac{3}{2}$

$\frac{9}{10} \times \frac{6}{1} + \frac{2}{3} \times \frac{9}{4} \times \frac{2}{3}$

$= \frac{54}{10} + \frac{2}{3} \times \frac{9}{4} \times \frac{2}{3}$

simplifi am pe 2 cu 4 prin 2 si pe 3 cu 9 prin 3

$= \frac{54}{10} + \frac{3}{2} \times \frac{2}{3}$

$= \frac{54}{10} + \frac{1}{1}$

amplificam a doua fractie cu 10 si obtinem

$= \frac{64}{10}$

simplificam prin 2 si obtinem

$\frac{32}{5}$