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Find a common denominator
$$
\text{LCD}(9, 6) = 18
$$
Convert fractions to equivalent fractions
$$
\frac{7}{9} = \frac{7 \times 2}{9 \times 2} = \frac{14}{18}
$$
$$
\frac{1}{6} = \frac{1 \times 3}{6 \times 3} = \frac{3}{18}
$$
Subtract the numerators
$$
\frac{14}{18} - \frac{3}{18} = \frac{14 - 3}{18} = \frac{11}{18}
$$
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Subtract.
$$ \frac{7}{9} - \frac{1}{6} = $$
<blank>\(\frac{11}{18}\)</blank>