your friend drinks 2/3 of a bottle of water. You drink 5/7 of a bottle of water. FInd the difference of the amounts of water left in each bottle?

Answer: The Difference between the amounts of water left in each bottle is [tex]\dfrac{1}{21}[/tex]  .Step-by-step explanation:Given as :The quantity of water drink by friend = [tex]\dfrac{2}{3}[/tex] of bottle of waterLet The left amount of water in bottle = xi.e x = total water - fraction of drink waterOr, x = 1 -  [tex]\dfrac{2}{3}[/tex]Or, x =  [tex]\dfrac{3 - 2}{3}[/tex]∴ x = [tex]\dfrac{1}{3}[/tex] AgainThe quantity of water drink by me = [tex]\dfrac{5}{7}[/tex] of bottle of waterLet The left amount of water in bottle = yi.e y = total water - fraction of drink waterOr, y = 1 -  [tex]\dfrac{5}{7}[/tex]Or, y =  [tex]\dfrac{7 - 5}{7}[/tex]∴  y = [tex]\dfrac{2}{7}[/tex] Now, Difference between the amounts of water left in each bottle = left amount of water in friend's bottle - left amount of water in my bottleOr, Difference between the amounts of water left in each bottle = x - yor, Difference between the amounts of water left in each bottle = [tex]\dfrac{1}{3}[/tex]  - [tex]\dfrac{2}{7}[/tex] Taking LCMDifference between the amounts of water left in each bottle = [tex]\dfrac{7 - 6}{21}[/tex] Or, Difference between the amounts of water left in each bottle = [tex]\dfrac{1}{21}[/tex] Hence, The Difference between the amounts of water left in each bottle is [tex]\dfrac{1}{21}[/tex]  . Answer