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Step 1:I'll solve this step-by-step using the specified LaTeX formatting guidelines:
Step 2:: Understand the Mixed Number
- In this case, we have $$5 \frac{1}{6}
- A mixed number consists of a whole number and a proper fraction
Step 3:: Convert to Improper Fraction
- To convert a mixed number to an improper fraction, multiply the whole number by the denominator and add the numerator - Whole number = 5 - Denominator = 6 - Numerator = 1
Step 4:: Calculation
- Multiply whole number by denominator: $$5 \times 6 = 30
- Add the original numerator: 30 + 1 = 31 - Place this result over the original denominator
Step 5:: Write the Improper Fraction
\frac{31}{6}
Final Answer
\frac{31}{6}
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