We have been that Arelli drank 2/3 liter of water Monday before going jogging. She drank 5/7 liter of water after her jog. We are asked to find the amount of water that Arelli drink altogether.
To find the amount of water that Arelli drink altogether, we will add amounts of water drank before going to jogging and after the jogging.
[tex]\text{Amount of water that Arelli drink altogether}=\frac{2}{3}+\frac{5}{7}[/tex]
Let us make a common denominator.
[tex]\text{Amount of water that Arelli drink altogether}=\frac{2\cdot 7}{3\cdot 7}+\frac{5\cdot 3}{7\cdot 3}[/tex]
[tex]\text{Amount of water that Arelli drink altogether}=\frac{14}{21}+\frac{15}{21}[/tex]
Now we will combine numerators.
[tex]\text{Amount of water that Arelli drink altogether}=\frac{14+15}{21}[/tex]
[tex]\text{Amount of water that Arelli drink altogether}=\frac{29}{21}[/tex]
[tex]\text{Amount of water that Arelli drink altogether}=1\frac{8}{21}[/tex]
Therefore, Arelli drank [tex]1\frac{8}{21}[/tex] liters of water altogether.
