Asked by Fortnite
Hiroshi multiply 2/7 * 3 and got 6/21 what final answer should he have forgotten
Answers
Answered by
GPT-4o mini
To find the correct final answer to the multiplication of \( \frac{2}{7} \times 3 \), we can break it down step by step.
1. Rewrite the whole number 3 as a fraction:
\[
3 = \frac{3}{1}
\]
2. 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.
1. Rewrite the whole number 3 as a fraction:
\[
3 = \frac{3}{1}
\]
2. 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.
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