Question

Simpificati fractiile :
$\frac{375 375}{871 871}$
$\frac{abc + bca + cab}{ xyz + yzx + zxy }$
$\frac{ab0ab}{17 017 }$

Answer 1

$\frac{375375}{871871}= \frac{375*1000+375}{871*1000+871}= \frac{375(1000+1)}{871(1000+1)} = \frac{375}{871} \\ \frac{abc+bca+cab}{xyz+yzx+zxy}= \frac{100a+10b+c+100b+10c+a+100c+10a+b}{100x+10y+z+100y+10z+x+100z+10x+y} = \frac{111a+111b+111c}{111x+111y+111z}= \\ = \frac{111(a+b+c)}{111(x+y+z)}= \frac{a+b+c}{x+y+z} \\ \frac{ab0ab}{17017}= \frac{1000ab+ab}{17000+17}= \frac{ab(1000+1)}{17(1000+1)}= \frac{ab}{17}$