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

Toán Lớp 5: M= 1/2 +5/6+11/12+19/20+29/30+41/42+55/56+71/72+89/90

Toán Lớp 5: M= 1/2 +5/6+11/12+19/20+29/30+41/42+55/56+71/72+89/90

Comments ( 2 )

  1. Ta có:
    1/2+5/6+11/12+19/20+29/30+41/42+55/56+71/72+89/90
    =1-1/2+1-1/6+1-1/(12)+1-1/(20)+1-1/(30)+1-1/(42)+1-1/(56)+1-1/(72)+1-1/(90)
    =(1+1+1+1+1+1+1+1+1)+(1/2+1/6+1/(12)+1/(20)+1/(30)+1/(42)+1/(56)+1/(72)+1/(90))
    =9– (1/2+1/6+1/(12)+1/(20)+1/(30)+1/(42)+1/(56)+1/(72)+1/(90))
    =9 – (1/(1.2)+1/(2.3)+1/(3.4)+1/(4.5)+1/(5.6)+1/(6.7)+1/(7.8)+1/(8.9)+1/(9.10))
    =9 – ( 1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+1/6-1/7+1/7-1/8+1/8-1/9+1/9-1/(10))
    =9 – (1 – 1/10)
    = (81)/(10)

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