To find the correct final answer to the multiplication of \( \frac{2}{7} \times 3 \), we can break it down step by step.
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Rewrite the whole number 3 as a fraction: \[ 3 = \frac{3}{1} \]
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Now multiply the fractions: \[ \frac{2}{7} \times \frac{3}{1} = \frac{2 \times 3}{7 \times 1} = \frac{6}{7} \]
Hiroshi's answer of \( \frac{6}{21} \) is incorrect. However, \( \frac{6}{21} \) can be simplified to find the right representation of \( \frac{6}{7} \).
To simplify \( \frac{6}{21} \):
- Divide both the numerator and denominator by 3: \[ \frac{6 \div 3}{21 \div 3} = \frac{2}{7} \]
Thus, Hiroshi should have ended up with \( \frac{6}{7} \) as the correct final answer.