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Write the mixed fractions given below as...

Write the mixed fractions given below as improper fractions:
`34(12)/(17)`

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To convert the mixed fraction \( 34 \frac{12}{17} \) into an improper fraction, we will follow these steps: ### Step-by-Step Solution: 1. **Understand the Mixed Fraction**: A mixed fraction consists of a whole number and a proper fraction. In this case, \( 34 \frac{12}{17} \) has a whole number \( 34 \) and a fraction \( \frac{12}{17} \). 2. **Convert the Whole Number to a Fraction**: To convert the whole number \( 34 \) into a fraction, we can express it as \( \frac{34 \times 17}{17} \). This gives us: \[ \frac{34 \times 17}{17} = \frac{578}{17} \] 3. **Add the Proper Fraction**: Now, we add the fraction \( \frac{12}{17} \) to the fraction we obtained from the whole number: \[ \frac{578}{17} + \frac{12}{17} = \frac{578 + 12}{17} \] 4. **Combine the Numerators**: Now, we add the numerators: \[ 578 + 12 = 590 \] So, we have: \[ \frac{590}{17} \] 5. **Final Result**: Therefore, the mixed fraction \( 34 \frac{12}{17} \) as an improper fraction is: \[ \frac{590}{17} \] ### Final Answer: The improper fraction is \( \frac{590}{17} \). ---
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