Total cups of water in pitcher = 16 cups
Cups of water drank by Aditi = [tex]2 \frac{1}{2}[/tex] = [tex]\frac{5}{2}[/tex] cups
Cups of water drank by Kavitha = [tex]3 \frac{3}{4}[/tex]= [tex]\frac{15}{4}[/tex] cups
Cups of water drank by Rahul = [tex]4 \frac{1}{8}[/tex]= [tex]\frac{33}{8}[/tex] cups
Total cups of water drank by three of them
= [tex]\frac{5}{2}[/tex] + [tex]\frac{15}{4}[/tex] + [tex]\frac{33}{8}[/tex]
LCM of 2,4 and 8 is 8.
= [tex]\frac{20+30+33}{8}[/tex]
= [tex]\frac{83}{8}[/tex] cups
Number of cups left in the pitcher = [tex]16 - \frac{83}{8}[/tex]
LCM of 1 and 8 is 8.
= [tex]\frac{128-83}{8}[/tex]
= [tex]\frac{45}{8}[/tex]
=[tex]5 \frac{5}{8}[/tex] cups
So, [tex]5 \frac{5}{8}[/tex] cups are left in the pitcher.