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Q9: Simplify each of the following using suitable properties:1. \( \left(\frac{1}{5} \times \frac{2}{15}\right)-\left(\frac{1}{5} \times \frac{2}{5}\right) \)2. \( -\frac{3}{5} \times\left(\frac{3}{7}+\left(-\frac{5}{6}\right)\right) \) |
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Answer» 1. \(\left(\frac15 \times \frac2{15}\right) - \left(\frac15 \times \frac2{5}\right) = \frac15\left(\frac2{15} - \frac25\right)\) \(= \frac15\times 25 \left(\frac13 - 1\right)\) \(= \frac2{25} \times \frac{-2}5\) \(= \frac{-4}{75}\) 2. \(-\frac{3}5 \times\left(\frac37 + (-\frac56)\right) = -\frac35 \times \frac{18 - 35}{42} \) \(= \frac{-3 \times 47}{5\times 42}\) \(= \frac{-(-17)}{5\times 14}\) = \(\frac{17}{70}\) |
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