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Step 1:I'll solve this step-by-step using the specified LaTeX formatting guidelines:
Step 2:: Understand the Problem
We need to convert the mixed number $$10 \frac{5}{6}$$ to an improper fraction.
Step 3:: Identify the Whole Number and Fractional Part
- Whole number: $$10
- Fractional part: \frac{5}{6}
Step 4:: Convert to Improper Fraction
The denominator remains $$6$$.
To convert a mixed number to an improper fraction, multiply the whole number by the denominator and add the numerator, then place this over the original denominator. Calculation: (10 \times 6) + 5 &= 60 + 5 \ &= 65 \end{aligned}
Step 5:: Write the Improper Fraction
\frac{65}{6}
Final Answer
\frac{65}{6}
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