Adding denominators

Max is working out 2/3+7/9. He says the answer is 9/12. What mistake have Max made?

Correct answer:

x =  1.4444

Step-by-step explanation:

$$\begin{gathered} x={\displaystyle \frac{2}{3}}+{\displaystyle \frac{7}{9}}={\displaystyle \frac{13}{9}}=1\frac{4}{9}\doteq 1.4444 \\ {\displaystyle \frac{a}{b}}+{\displaystyle \frac{c}{d}}\mathrm{\ne }{\displaystyle \frac{a+c}{b+d}} \end{gathered}$$

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