Question

ex 15 dau Coroana!!!!!!!!​

Answer 1

Explicație pas cu pas:

$x = \dfrac{3}{4} + \dfrac{5}{18} : 1 \dfrac{1}{4} = \dfrac{3}{4} + \dfrac{5}{18} : \dfrac{5}{4} = \dfrac{3}{4} + \dfrac{5}{18} \cdot \dfrac{4}{5} = \dfrac{3}{4} + \dfrac{1}{9} \cdot \dfrac{2}{1} = \dfrac{^{9)} 3}{4} + \dfrac{^{4)} 2}{9} = \dfrac{27 + 8}{36} = \dfrac{35}{36}$

$y = 1\dfrac{13}{15} :3\dfrac{1}{5} - \dfrac{3}{8} = \dfrac{15 + 13}{15} :\dfrac{15 + 1}{5} - \dfrac{3}{8} = \dfrac{28}{15} :\dfrac{16}{5} - \dfrac{3}{8} = \dfrac{28}{15} \cdot \dfrac{5}{16} - \dfrac{3}{8} = \dfrac{7}{3} \cdot \dfrac{1}{4} - \dfrac{3}{8} = \dfrac{^{2)} 7}{12} - \dfrac{^{3)} 3}{8} = \dfrac{14 - 9}{24} = \dfrac{5}{24}$

=>

$x : y = \dfrac{35}{36} : \dfrac{5}{24} = \dfrac{35}{36} \cdot \dfrac{24}{5} = \dfrac{7}{3} \cdot \dfrac{2}{1} = \dfrac{14}{3} = \bf 4\dfrac{2}{3}$