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Mathematics

Evaluate:

4923\dfrac{-4}{9} - \dfrac{2}{-3}

Rational Numbers

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Answer

4923=4923\dfrac{-4}{9} - \dfrac{2}{-3}\\[1em] =\dfrac{-4}{9} - \dfrac{-2}{3}

LCM of 9 and 3 is 3 x 3 = 9

4×19×12×33×3=4969=4(6)9=4+69=29\dfrac{-4 \times 1}{9 \times 1} - \dfrac{-2 \times 3}{3 \times 3}\\[1em] = \dfrac{-4}{9} - \dfrac{-6}{9}\\[1em] = \dfrac{-4 - (-6)}{9}\\[1em] = \dfrac{-4 + 6}{9}\\[1em] = \dfrac{2}{9}

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