Answer: The fourth person will receive [tex]\dfrac{13}{60}[/tex] of a bar.
Step-by-step explanation:
Total people = 4
Fraction of chocolate received by first person = [tex]\dfrac13[/tex]
Fraction of chocolate received by second person = [tex]\dfrac14[/tex]
Fraction of chocolate received by third person = [tex]\dfrac15[/tex]
Now, Fraction of chocolate received by fourth person = [tex]1-(\dfrac13+\dfrac14+\dfrac15)[/tex]
[tex]=1-(\dfrac{20+15+12}{60})\\\\=1-(\dfrac{47}{60})\\\\=\dfrac{60-47}{60}\\\\=\dfrac{13}{60}[/tex]
So, the fourth person will receive [tex]\dfrac{13}{60}[/tex] of a bar.
