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Step 1:I'll solve this step-by-step using the specified LaTeX formatting guidelines:
Step 2:: Understand Mixed Number Conversion
A mixed number consists of a whole number and a fractional part. To convert to an improper fraction, we need to: - Multiply the whole number by the denominator - Add this to the numerator - Keep the original denominator
Step 3:: Break Down the Mixed Number
- Whole number: $$2
- Fractional part: \frac{5}{8}
Step 4:: Multiply Whole Number by Denominator
2 \times 8 = 16
Step 5:: Add Numerator to Previous Result
16 + 5 = 21
Step 6:: Create Improper Fraction
- Denominator: $$8
The improper fraction will have:
Final Answer
\frac{21}{8}
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