Verified Answer :

\(\frac{18}{42}=\frac{18:2}{42:2}=\frac{9}{21}=\frac{9:3}{21:3}=\boxed{\frac{3}{7}}\)

18 | 2 
9 | 3
3 | 3
1

42 | 2
21 | 3
7 | 7
1 

2,3
GCF (18,42) = 2*3 = 6
\(\dfrac{18}{42} = \dfrac{18:6}{42:6} = \dfrac{3}{7}\)