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Mathematics

Evaluate:

23+451325\dfrac{2}{3} + \dfrac{-4}{5} - \dfrac{1}{3} - \dfrac{2}{5}

Rational Numbers

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Answer

(2313)+(4525)=(213)+(425)=(13)+(65)\Big(\dfrac{2}{3} - \dfrac{1}{3}\Big) + \Big(\dfrac{-4}{5} - \dfrac{2}{5}\Big)\\[1em] =\Big(\dfrac{2 - 1}{3}\Big) + \Big(\dfrac{-4 - 2}{5}\Big)\\[1em] =\Big(\dfrac{1}{3}\Big) + \Big(\dfrac{-6}{5}\Big)

LCM of 3 and 5 is 3 x 5 = 15

=1×53×5+6×35×3=515+1815=5+(18)15=1315=\dfrac{1 \times 5}{3 \times 5} + \dfrac{-6 \times 3}{5 \times 3}\\[1em] =\dfrac{5}{15} + \dfrac{-18}{15}\\[1em] =\dfrac{5 + (-18)}{15}\\[1em] =\dfrac{-13}{15}

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