To calculate \( 28 \times 5 \frac{11}{14} \), we first convert the mixed number into an improper fraction.
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Convert \( 5 \frac{11}{14} \) to an improper fraction: \[ 5 \frac{11}{14} = \frac{5 \times 14 + 11}{14} = \frac{70 + 11}{14} = \frac{81}{14} \]
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Now multiply by 28: \[ 28 \times \frac{81}{14} \]
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To make the calculation easier, express 28 as a fraction: \[ 28 = \frac{28}{1} \]
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Now multiply the fractions: \[ \frac{28}{1} \times \frac{81}{14} = \frac{28 \times 81}{1 \times 14} = \frac{2268}{14} \]
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Now simplify \(\frac{2268}{14}\): \[ \frac{2268 \div 14}{14 \div 14} = \frac{162}{1} = 162 \]
Thus, \( 28 \times 5 \frac{11}{14} = 162 \).