To calculate \( 2 \times \frac{11}{16} \times \frac{8}{9} \), follow these steps:
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First, multiply the fractions together: \[ \frac{11}{16} \times \frac{8}{9} = \frac{11 \times 8}{16 \times 9} = \frac{88}{144} \]
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Now simplify \( \frac{88}{144} \). Both 88 and 144 can be divided by 16: \[ \frac{88 \div 16}{144 \div 16} = \frac{5.5}{9} = \frac{11}{18} \text{ (converting 5.5 to fraction gives us 11/2)} \]
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Now multiply this result by 2: \[ 2 \times \frac{11}{18} = \frac{22}{18} \]
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Simplify \( \frac{22}{18} \): \[ \frac{22 \div 2}{18 \div 2} = \frac{11}{9} \]
So, the final answer is: \[ \frac{11}{9} \text{ or } 1 \frac{2}{9} \]