Answer
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Step 1:I'll solve this step-by-step using precise LaTeX formatting:
Step 2:: Identify the Decimal
The decimal number is $$1.66667
Step 3:: Recognize the Repeating Pattern
This decimal appears to be a repeating decimal where $$6$$ repeats infinitely.
Step 4:: Set Up the Algebraic Conversion
10x = 16.6667
Multiply both sides by 10 to shift the decimal:
Step 5:: Subtract Original Equation
9x = 15
x = 1.66667
Step 6:: Solve for x
x = \frac{15}{9}
Step 7:: Simplify the Fraction
x = \frac{5}{3}
Final Answer
Verification: \frac{5}{3} = 1.66667 ✓
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