How do you write \( 0.1 \overline{6} \) as a fraction?
\( \frac{1}{8} \)
\( \frac{1}{9} \)
\( \frac{1}{3} \)
\( \frac{1}{6} \)
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Answer

So, 0.1\overline{6} = \( \frac{1}{6} \)

Steps

Step 1 ：Let x = \( 0.1 \overline{6} \)

Step 2 ：Multiply both sides by 10: 10x = 1.\overline{6}

Step 3 ：Subtract the first equation from the second: 9x = 1.5

Step 4 ：Divide by 9: x = \( \frac{1}{2} \cdot \frac{1}{3} \)

Step 5 ：So, 0.1\overline{6} = \( \frac{1}{6} \)