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222-9+11+12:2*14+14 = ? ( )

Toán Lớp 6: không quy đồng hãy tính tổng sau A= -1/20+-1/30+-1/42+-1/56+-1/72+-1/90

Toán Lớp 6: không quy đồng hãy tính tổng sau A= -1/20+-1/30+-1/42+-1/56+-1/72+-1/90

Comments ( 1 )

  1. Giải đáp:
    $A=-\dfrac{3}{20}.$
    Lời giải và giải thích chi tiết:
    $A=-\dfrac{1}{20}-\dfrac{1}{30}-\dfrac{1}{42}-\dfrac{1}{56}-\dfrac{1}{72}-\dfrac{1}{90}\\ =-\left(\dfrac{1}{20}+\dfrac{1}{30}+\dfrac{1}{42}+\dfrac{1}{56}+\dfrac{1}{72}+\dfrac{1}{90}\right)\\ =-\left(\dfrac{1}{4.5}+\dfrac{1}{5.6}+\dfrac{1}{6.7}+\dfrac{1}{7.8}+\dfrac{1}{8.9}+\dfrac{1}{9.10}\right)\\ =-\left(\dfrac{5-4}{4.5}+\dfrac{6-5}{5.6}+\dfrac{7-6}{6.7}+\dfrac{8-7}{7.8}+\dfrac{9-8}{8.9}+\dfrac{10-9}{9.10}\right)\\ =-\left(\dfrac{1}{4}-\dfrac{1}{5}+\dfrac{1}{5}-\dfrac{1}{6}+\dfrac{1}{6}-\dfrac{1}{7}+\dfrac{1}{7}-\dfrac{1}{8}+\dfrac{1}{8}-\dfrac{1}{9}+\dfrac{1}{9}-\dfrac{1}{10}\right)\\ =-\left(\dfrac{1}{4}-\dfrac{1}{10}\right)\\ =-\dfrac{3}{20}.$

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222-9+11+12:2*14+14 = ? ( )