Problem

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

Solution

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} = \( \frac{1}{6} \)

From Solvely APP
Source: https://solvelyapp.com/problems/21499/

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