Lời giải:
$(1-\frac{1}{2}): (1-\frac{1}{3}): (1-\frac{1}{4})=\frac{1}{2}: \frac{2}{3}: \frac{3}{4}$
$=\frac{1}{2}\times \frac{3}{2}\times \frac{4}{3}=\frac{1\times 3\times 4}{2\times 2\times 3}=\frac{12}{12}=1$
\(\left(1-\dfrac{1}{2}\right):\left(1-\dfrac{2}{3}\right):\left(1-\dfrac{3}{4}\right)=\dfrac{1}{2}:\dfrac{2}{3}:\dfrac{3}{4}=\dfrac{1}{2}\)x\(\dfrac{3}{2}\)x\(\dfrac{4}{3}\)\(=\dfrac{12}{12}=1\)