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2024-03-07 21:15:39
a)\(\dfrac{-2}{7}\)+\(\dfrac{2}{7}\):\(\dfrac{3}{5}\)
=\(\dfrac{-2}{7}\)+\(\dfrac{2}{7}\).\(\dfrac{5}{3}\)
=\(\dfrac{-2}{7}\)+\(\dfrac{10}{21}\)
=\(\dfrac{4}{21}\)
b) \(\dfrac{-8}{19}\)+\(\dfrac{-4}{21}\)-\(\dfrac{17}{21}\)+\(\dfrac{27}{19}\)
=\(\dfrac{-8}{19}\)+\(\dfrac{27}{19}\)-\(\dfrac{17}{21}\)+\(\dfrac{-4}{21}\)
=\(\left(\dfrac{-8+27}{19}\right)\)-\(\left(\dfrac{17+-4}{21}\right)\)
=\(\dfrac{19}{19}\)-\(\dfrac{-21}{21}\)
=1-1
=0
c)\(\dfrac{6}{5}\).\(\dfrac{3}{13}\)-\(\dfrac{6}{5}\).\(\dfrac{16}{13}\)
=\(\dfrac{6}{5}\).\(\left(\dfrac{3}{13}-\dfrac{16}{13}\right)\)
=\(\dfrac{6}{5}\).\(\left(\dfrac{3-6}{13}\right)\)
=\(\dfrac{6}{5}\).\(\left(\dfrac{-13}{13}\right)\)
=\(\dfrac{6}{5}\).(-1)
=\(\dfrac{-6}{5}\)