Question

sa se simplifice fractia 144144144 supra 256256256 aducand-o la o forma ireductibila , dau coroana​

Answer 1

descompunem in factori primi atat numitorul cat si numaratorul

144.144.144 = 2⁴ · 3³ · 333.667

256.256.256 = 2⁸ · 3 · 333.667

$\bf \dfrac{2^{4}\cdot 3^{3}\cdot 333667}{2^{8}\cdot 3\cdot 333667}=$

$\bf \dfrac{2^{4}\cdot 3^{3}\cdot\not 333667}{2^{8}\cdot 3\cdot \not333667}=$

$\bf \dfrac{2^{4}\cdot 3^{3}}{2^{8}\cdot 3}=$

$\bf \dfrac{3^{2}}{2^{4}}=$

$\boxed{\bf \dfrac{9}{16} }$