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Mathematics

Evaluate:

27314\dfrac{-2}{7} - \dfrac{3}{-14}

Rational Numbers

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Answer

27314=27314\dfrac{-2}{7} - \dfrac{3}{-14}\\[1em] =\dfrac{-2}{7} - \dfrac{-3}{14}

LCM of 7 and 14 is 2 x 14 = 14

2×27×23×114×1=414314=4(3)14=4+314=114\dfrac{-2 \times 2}{7 \times 2} - \dfrac{-3 \times 1}{14 \times 1}\\[1em] = \dfrac{-4}{14} - \dfrac{-3}{14}\\[1em] = \dfrac{-4 - (-3)}{14}\\[1em] = \dfrac{-4 + 3}{14}\\[1em] = \dfrac{-1}{14}

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