Question

2/3 + 2/9 + 2/27= it’s i just adding fractions but I wanna make sure it is correct. So if you know the answer could you let me know please

Answer 1

`\boxed{\sf (2)/(3) + (2)/(9) + (2)/(27) = (26)/(27)}`

Explanation:

`\sf Adding \ fractions: \\ \sf \implies (2)/(3) + (2)/(9) + (2)/(27) \\ \\ \sf Put \: (2)/(3) + (2)/(9) + (2)/(27) \: over \: the \: common \: denominator \: 27 : \\ \sf \implies (2 * 9)/(27) + (2 * 3)/(27) + (2)/(27) \\ \\ \sf 2 * 9 = 18 : \\ \sf \implies (18)/(27) + (2 * 3)/(27) + (2)/(27) \\ \\ \sf 2 * 3 = 6 : \\ \sf \implies (18)/(27) + (6)/(27) + (2)/(27) \\ \\ \sf \implies (18 + 6 + 2)/(27) \\ \\ \sf 18 + 6 + 2 = 26 : \\ \sf \implies (26)/(27)`