Question

Simplify the following :
(3/7 X -14/9) + (-8/15 X 3/-32) + (1/9 ➗ -4/27)

Answer 1

${\mathcal{\green{solution}}}$

$(\frac{3}{7} \times \frac{ - 14}{9} ) + ( \frac{ - 8}{15} \times \frac{3}{ - 32} ) + ( \frac{1}{9} \div \frac{ - 4}{27} )$

$= ( \frac{1}{1} \times \frac{ - 2}{3} ) + ( \frac{1}{5} \times \frac{1}{4} ) + ( \frac{1}{9} \times \frac{27}{ - 4} )$

$= \frac{ - 2}{3} + \frac{1}{20} + ( \frac{1}{1} \times \frac{3}{ - 4} )$

$= ( \frac{ - 2 \times 20}{3 \times 20} ) + ( \frac{1 \times 3}{20 \times 3} ) + ( - \frac{3 \times 15}{4 \times 15} )$

$= \frac{ - 40}{60} + \frac{3}{60} - \frac{45}{60}$

$= \frac{(3 - 85)}{60}$

$= \frac{ - 82}{60}$

$= \frac{ - 41}{30}$

Answer...

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