Question

ex 13 si 14 VA ROG E URGENT!!!!
dau coroana

Answer 1

13. Scriem numere in baza 10 si obtinem:

a.

$\frac{10x+y+10y+x}{x+y} =\frac{11x+11y}{x+y} =\frac{11(x+y)}{x+y} =11$

b.

$\frac{11x+11y}{22} =\frac{11(x+y)}{22}= \frac{x+y}{2}$

c.

$\frac{100a+10b+c+100b+10c+a+100c+10a+b}{100x+10y+z+100y+10x+z+100z+10x+y} =\frac{111(a+b+c)}{111(x+y+z)} =\frac{(a+b+c)}{(x+y+z)}$

d.

$\frac{100a+10b+c+100b+10c+a+100c+10a+b}{a+b+b} =\frac{111(a+b+c)}{a+b+c} =111$

14.

a.

$\frac{n+2+1}{n+2} =1+\frac{1}{n+2} \\\\\frac{1}{n+2} \ ireductibila$

b.

$\frac{n+4+1}{n+4} =1+\frac{1}{n+4} \\\\\frac{1}{n+4} \ ireductibila$

c.

$\frac{2(n+3)+1}{n+3} =2+\frac{1}{n+3} \\\\\frac{1}{n+3} \ ireductibila$

d.

$\frac{2(n+4)+1}{n+4} =2+\frac{1}{n+4} \\\\\frac{1}{n+4} \ ireductibila$

e.

$\frac{3(n+3)+1}{n+3} =3+\frac{1}{n+3} \\\\\frac{1}{n+3} \ ireductibila$

f.

$\frac{3(2n+3)+n+1}{2n+3} =3+\frac{n+1}{2(n+1)+1} \\\\\frac{n+1}{2(n+1)+1} \ ireductibila$