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\frac{1}{6}+\frac{1}{4\times 2}
Express \frac{\frac{1}{4}}{2} as a single fraction.
\frac{1}{6}+\frac{1}{8}
Multiply 4 and 2 to get 8.
\frac{4}{24}+\frac{3}{24}
Least common multiple of 6 and 8 is 24. Convert \frac{1}{6} and \frac{1}{8} to fractions with denominator 24.
\frac{4+3}{24}
Since \frac{4}{24} and \frac{3}{24} have the same denominator, add them by adding their numerators.
\frac{7}{24}
Add 4 and 3 to get 7.