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15. Se considera fractiile ordinare x = 3 supra 4+5 supra 18:1 1 supra 4 si y = 1 13 supra 15:3 1 supra 5 - 3 supra 8. Calculati x:y.


Răspuns :

Răspuns:

[tex]x = \frac{3}{4} + \frac{5}{18} \div 1 \frac{1}{4} [/tex]

[tex]x = \frac{3}{4} + \frac{5}{18} \div \frac{1 \times 4 + 1}{4} = [/tex]

[tex]x = \frac{3}{4} + \frac{5}{18} \div \frac{5}{4} [/tex]

[tex]x = \frac{3 }{4} + \frac{5}{18} \times \frac{4}{5} [/tex]

[tex]x = \frac{3}{4} + \frac{1}{9} \times 2[/tex]

[tex]x = \frac{3}{4} + \frac{2}{9} [/tex]

[tex]x = \frac{35}{36} [/tex]

[tex]y = 1 \frac{13}{15} \div 3 \frac{1}{5} - \frac{3}{8} = [/tex]

[tex]y = y = \frac{28}{15} \times \frac{1}{3} \times \frac{1}{5} - \frac{3}{8} [/tex]

[tex]y = \frac{28}{225} - \frac{3}{8}[/tex]

[tex]y = - \frac{451}{1800} [/tex]

[tex]x \div y = \frac{35}{36} \div ( - \frac{451}{1800} )[/tex]

[tex] = - \frac{35}{36} \times \frac{1800}{451}[/tex]

[tex] = - 35 \times \frac{50}{451} [/tex]

[tex] = - \frac{1750}{451} [/tex]