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QuestionMathematics

Convert the improper fraction 34 / 7 into a mixed number.
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Step 1:
I'll solve this step-by-step using the proper LaTeX formatting:

Step 2:
: Understand the Conversion Process

To convert an improper fraction to a mixed number, we need to divide the numerator by the denominator and determine the whole number part and the remainder.

Step 3:
: Perform Division

34 \div 7 = 4 \text{ remainder } 6
Divide 34 by 7:

Step 4:
: Write the Mixed Number

\frac{34}{7} = 4\frac{6}{7}
- The whole number part is 4 - The remainder becomes the numerator of the fractional part - The original denominator remains the same

Step 5:
: Verify the Conversion

4\frac{6}{7} = 4 + \frac{6}{7} = \frac{28}{7} + \frac{6}{7} = \frac{34}{7}
Let's check our work by converting back:

Final Answer

4\frac{6}{7}