(91/41 x -1/3) + (4/3 x -9/16) + (2/3 x -91/41)
Simplify using suitable properties.

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Solution

Dear student

$(\frac{91}{41} \times (- \frac{1}{3})) + (\frac{4}{3} \times (- \frac{9}{16})) + (\frac{2}{3} \times (- \frac{91}{41})) = (\frac{91}{41} \times (- \frac{1}{3})) + (\frac{2}{3} \times (- \frac{91}{41})) + (\frac{4}{3} \times (- \frac{9}{16})) = \frac{91}{41} [- \frac{1}{3} - \frac{2}{3}] + (\frac{4}{3} \times (- \frac{9}{16})) [a s a \times (b + c) = (a \times b) + (a \times c)] = (\frac{91}{41} \times (\frac{- 3}{3})) + (\frac{4}{3} \times (- \frac{9}{16})) = - \frac{91}{41} + (- \frac{3}{4}) = \frac{- 364 - 123}{164} = - \frac{487}{164}$
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