Question

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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.

Answer 1

Răspuns:

$x = \frac{3}{4} + \frac{5}{18} \div 1 \frac{1}{4}$

$x = \frac{3}{4} + \frac{5}{18} \div \frac{1 \times 4 + 1}{4} =$

$x = \frac{3}{4} + \frac{5}{18} \div \frac{5}{4}$

$x = \frac{3 }{4} + \frac{5}{18} \times \frac{4}{5}$

$x = \frac{3}{4} + \frac{1}{9} \times 2$

$x = \frac{3}{4} + \frac{2}{9}$

$x = \frac{35}{36}$

$y = 1 \frac{13}{15} \div 3 \frac{1}{5} - \frac{3}{8} =$

$y = y = \frac{28}{15} \times \frac{1}{3} \times \frac{1}{5} - \frac{3}{8}$

$y = \frac{28}{225} - \frac{3}{8}$

$y = - \frac{451}{1800}$

$x \div y = \frac{35}{36} \div ( - \frac{451}{1800} )$

$= - \frac{35}{36} \times \frac{1800}{451}$

$= - 35 \times \frac{50}{451}$

$= - \frac{1750}{451}$