Answer:
[tex] \boxed{\sf \frac{2}{3} + \frac{2}{9} + \frac{2}{27} = \frac{26}{27}} [/tex]
Step-by-step explanation:
[tex] \sf Adding \ fractions: \\ \sf \implies \frac{2}{3} + \frac{2}{9} + \frac{2}{27} \\ \\ \sf Put \: \frac{2}{3} + \frac{2}{9} + \frac{2}{27} \: over \: the \: common \: denominator \: 27 : \\ \sf \implies \frac{2 \times 9}{27} + \frac{2 \times 3}{27} + \frac{2}{27} \\ \\ \sf 2 \times 9 = 18 : \\ \sf \implies \frac{18}{27} + \frac{2 \times 3}{27} + \frac{2}{27} \\ \\ \sf 2 \times 3 = 6 : \\ \sf \implies \frac{18}{27} + \frac{6}{27} + \frac{2}{27} \\ \\ \sf \implies \frac{18 + 6 + 2}{27} \\ \\ \sf 18 + 6 + 2 = 26 : \\ \sf \implies \frac{26}{27}[/tex]