To solve the problem of multiplying 17 by \(\frac{2}{7}\) and then simplifying the answer to a mixed number, follow these steps:
We start with the multiplication of the whole number \( 17 \) by the numerator \( 2 \): \[ 34 = 17 \cdot 2 \]
Next, we form the improper fraction by placing the result from Step 1 over the denominator \( 7 \): \[ \frac{34}{7} \]
To convert the improper fraction \( \frac{34}{7} \) to a mixed number, we divide \( 34 \) by \( 7 \):
Thus, we can express the mixed number as: \[ 4 \frac{6}{7} \]
The final answer is \[ \boxed{4 \frac{6}{7}} \]
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