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What is 3.4 as an improper fraction and mixed number in simplest form? A. ㅂ and 3ㅎ B. ㅂ and 3ㅎ C. ㅜ and 4ㅜ D. ㅜ and 4ㅜ
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Answer

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Step 1:
I'll solve this step by step, using precise LaTeX formatting:

Step 2:
: Convert 3.4 to an improper fraction

3.4 = \frac{34}{10}
• First, multiply 3.4 by the denominator 10 to remove the decimal

Step 3:
: Simplify the fraction

\frac{34}{10} = \frac{17}{5}
• Divide both numerator and denominator by their greatest common factor (GCF) • The GCF of 34 and 10 is 2

Step 4:
: Convert to a mixed number

3\frac{2}{5}
• Divide 17 by 5 • Quotient is 3 remainder 2

Step 5:
: Verify the original value

• $$3\frac{2}{5} = 3 + \frac{2}{5} = \frac{15}{5} + \frac{2}{5} = \frac{17}{5} = 3.4 \checkmark

Final Answer

• Improper fraction: \frac{17}{5} • Mixed number: 3\frac{2}{5}