Answer :

Find the lowest common denominator for the 3 fractions. It is 12.
Rewrite each fraction with the denominator 12.
1/6 = 2/12
3/4 = 9/12
2/3 = 8/12
2/12 + 9/12 + 8/12 = 19/12
This can be written as the mixed number 1 7/12.
The answer is D) 1 7/12
[tex] \frac{1}{6}+ \frac{3}{4}+ \frac{2}{3}= \\ \\ \frac{1}{6}+ \frac{3}{4}= \\ \\ \frac{1*2}{6*2}= \frac{2}{12} \\ \\ \frac{3*3}{4*3}= \frac{9}{12} \\ \\ \frac{2}{12}+ \frac{9}{12}= \frac{11}{12} \\ \\ \frac{11}{12}+ \frac{2}{3}= \\ \\ \frac{11*1}{12*1}= \frac{11}{12} \\ \\ \frac{2*4}{3*4}= \frac{8}{12} \\ \\ \frac{11}{12}+ \frac{8}{12}= \frac{19}{12} \\ \\ \frac{19}{12}=1 \frac{7}{12} \\ \\ Answer:\boxed{D.1 \frac{7}{12}} \\ [/tex]

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