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14 supra 15 *(27 supra 10 * 20 supra 63 - 14 supra 15 : 18 supra 15


Răspuns :

[tex] \frac{14}{15}\cdot({ \frac{27}{10} \cdot \frac{20}{63} - \frac{14}{15}: \frac{18}{15})[/tex]

[tex]\frac{14}{15}: \frac{18}{15}=\frac{14}{15}\cdot \frac{15}{18}= \frac{7}{9} [/tex]

[tex]\frac{27}{10} \cdot \frac{20}{63}= \frac{6}{7}[/tex]

[tex] \frac{14}{15} ( \frac{6}{7}- \frac{7}{9})= [/tex]

[tex] \frac{14}{15}( \frac{54-49}{63})=\frac{2}{27} [/tex]


[tex] \frac{14}{15} \times ( \frac{27}{10} \times \frac{20}{63} - \frac{14}{15} \div \frac{18}{15} )[/tex]

[tex] = \frac{14}{15} \times ( \frac{3}{1} \times \frac{2}{7} - \frac{14}{15} \times \frac{15}{18} )[/tex]

[tex] = \frac{14}{15} \times ( \frac{3 \times 2}{1 \times 7} - \frac{14}{18} )[/tex]

[tex] = \frac{14}{15} \times ( \frac{6}{7} - \frac{7}{9} )[/tex]

[tex] = \frac{14}{15} \times ( \frac{54}{63} - \frac{49}{63} )[/tex]

[tex] = \frac{14}{15} \times \frac{54 - 49}{63} [/tex]

[tex] = \frac{14}{15} \times \frac{5}{63} [/tex]

[tex] = \frac{14 \times 5}{15 \times 63} [/tex]

[tex] = \frac{70}{945} [/tex]

[tex] = \frac{ 14}{189} [/tex]

[tex]=\frac{2}{27}[/tex]