Question

[tran khanh linh]

n la 1 so tu nhien ,a/b la ps co ts a be hon msb.so sanh a/bva a+n/b+n

Answer 1

[Trương Tuấn Phong]

Vì \(\frac{a}{b}\)< 1 => a < b => a+n<b+n

=>an + ab  <  bn +  ab

=>a(n +b)  <  b (n+a)

=>\(\frac{a}{b}\)<\(\frac{a+n}{b+n}\)