Questions: Multiply 17 * 2/7. Simplify your answer and write it as a mixed number.

Multiply 17 * 2/7. Simplify your answer and write it as a mixed number.
Transcript text: Multiply $17 \cdot \frac{2}{7}$. Simplify your answer and write it as a mixed number.
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Solution

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Solution Steps

To solve the problem of multiplying 17 by \(\frac{2}{7}\) and then simplifying the answer to a mixed number, follow these steps:

  1. Multiply the whole number (17) by the numerator of the fraction (2).
  2. Divide the result by the denominator of the fraction (7).
  3. Convert the resulting improper fraction to a mixed number.
Step 1: Multiply the Whole Number by the Numerator

We start with the multiplication of the whole number \( 17 \) by the numerator \( 2 \): \[ 34 = 17 \cdot 2 \]

Step 2: Form the Improper Fraction

Next, we form the improper fraction by placing the result from Step 1 over the denominator \( 7 \): \[ \frac{34}{7} \]

Step 3: Convert to Mixed Number

To convert the improper fraction \( \frac{34}{7} \) to a mixed number, we divide \( 34 \) by \( 7 \):

  • The whole number part is \( 4 \) (since \( 7 \times 4 = 28 \)).
  • The remainder is \( 6 \) (since \( 34 - 28 = 6 \)).

Thus, we can express the mixed number as: \[ 4 \frac{6}{7} \]

Final Answer

The final answer is \[ \boxed{4 \frac{6}{7}} \]

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