Answer: The birthday boy got [tex]\dfrac13[/tex] of cake and rest each of the 4 children got [tex]\dfrac16[/tex] of cake.
Step-by-step explanation:
1 cake is divided into 6 pieces.
1 piece = [tex]\dfrac16[/tex]
Birthday boy got 2 pieces.
Part of cake he has = [tex]2\times\dfrac16=\dfrac26=\dfrac13[/tex] [divide numerator and denominator by 2]
So, birthday boy got [tex]\dfrac13[/tex] of cake and rest each of the 4 children got [tex]\dfrac16[/tex] of cake.