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simplify: [ 2/7 * -4/11] divided by [ -5/22 * 11/49]

$[\frac{2}{7} \times (\frac{- 4}{11})] divided by [\frac{- 5}{22} \times \frac{11}{49}] = [\frac{2 \times (- 4)}{7 \times 11}] \div [\frac{- 5 \times 11}{22 \times 49}] = \frac{- 8}{77} \div \frac{(- 5)}{2 \times 49} [∵ 22 \div 11 = 2] = \frac{- 8}{77} \div \frac{(- 5)}{98} = \frac{- 8}{77} \times \frac{98}{(- 5)} = \frac{8 \times 14}{11 \times 5} (dividing numerator and denominator by 7) = \frac{112}{55}$

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