To solve the expression \( \frac{2}{7} \times 8 \), follow these steps:
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Convert the whole number (8) into a fraction: \[ 8 = \frac{8}{1} \]
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Multiply the two fractions: \[ \frac{2}{7} \times \frac{8}{1} = \frac{2 \times 8}{7 \times 1} = \frac{16}{7} \]
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Convert \( \frac{16}{7} \) into a mixed number:
- Divide 16 by 7: \[ 16 \div 7 = 2 \quad \text{(whole number)} \] \[ \text{Remainder: } 16 - (7 \times 2) = 2 \]
- So, \( \frac{16}{7} = 2 \frac{2}{7} \).
The correct answer is \( 2 \frac{2}{7} \) (2 and 2/7).