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Step 1:I'll solve this step-by-step using precise LaTeX formatting:
Step 2:: Understand the Repeating Decimal
• In this case, 2.3 repeating means $$2.3333...$$ where 3 repeats forever
• A repeating decimal is a number where a digit or group of digits repeat infinitely
Step 3:: Set Up the Algebraic Equation
10x = 23.3333...
Multiply both sides by 10:
Step 4:: Subtract to Eliminate Repeating Portion
9x = 21
x = 2.3333...
Step 5:: Solve for x
x = \frac{21}{9}
x = \frac{7}{3}
Step 6:: Convert to Percentage
\frac{7}{3} = 2.3333...
Percentage: \frac{7}{3} \times 100\% = 233.33\%
Final Answer
• Fraction: \frac{7}{3} • Percentage: 233.33\%
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