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Mathematics

Evaluate:

5211342\dfrac{5}{21} - \dfrac{-13}{42}

Rational Numbers

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Answer

5211342\dfrac{5}{21} - \dfrac{-13}{42}

LCM of 21 and 42 is 2 x 3 x 7 = 42

5×221×213×142×1=10421342=10(13)42=10+1342=2342\dfrac{5 \times 2}{21 \times 2} - \dfrac{-13 \times 1}{42 \times 1}\\[1em] = \dfrac{10}{42} - \dfrac{-13}{42}\\[1em] = \dfrac{10 - (-13)}{42}\\[1em] = \dfrac{10 + 13}{42}\\[1em] = \dfrac{23}{42}

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