To determine how many quarts of water did Jose and Julio drink altogether, you have to add both fractions:
[tex]\frac{11}{12}+\frac{2}{3}[/tex]To be able to add fractions, they must be expressed using the same denominator, so the first step is to find a common denominator between both fractions.
The common denominator between "12" and "3" is 12, to express 2/3 as its corresponding fraction with denominator 12, you have to multiply the numerator and denominator by 4:
[tex]\begin{gathered} \frac{11}{12}+\frac{2}{3} \\ \frac{11}{12}+\frac{2\cdot4}{3\cdot4} \\ \frac{11}{12}+\frac{8}{12} \end{gathered}[/tex]Now that both fractions are expressed using the same denominator you can add them:
[tex]\frac{11}{12}+\frac{8}{12}=\frac{11+8}{12}=\frac{19}{12}[/tex]They drank 19/12 quarts of water altogether.
