1/2+5/6+11/12+19/20+29/30+……+9701/9702+9899/9900

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1/2+5/6+11/12+19/20+29/30+……+9701/9702+9899/99001/2+5/6+11/12+19/20+29/30+……+9701/9702+9899/99001/2+

1/2+5/6+11/12+19/20+29/30+……+9701/9702+9899/9900
1/2+5/6+11/12+19/20+29/30+……+9701/9702+9899/9900

1/2+5/6+11/12+19/20+29/30+……+9701/9702+9899/9900
原式=(1-1/2)+(1-1/6)+......+(1-1/9900)
=99-(1/2+1/6+....+1/9900)
=99-(1/1×2+1/2×3+1/3×4+.....+1/99×100)
=99-(1-1/2+1/2-1/3+1/3-...+1/99-1/100)
=99-99/100
=98+1/100

原式=(1-1/2)+(1-1/6)+......+(1-1/9900)
=99-(1/2+1/6+....+1/9900)
=99-(1/1×2+1/2×3+1/3×4+.....+1/99×100)
=99-(1-1/2+1/2-1/3+1/3-...+1/99-1/100)
=99-99/100
=98+1/100...

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原式=(1-1/2)+(1-1/6)+......+(1-1/9900)
=99-(1/2+1/6+....+1/9900)
=99-(1/1×2+1/2×3+1/3×4+.....+1/99×100)
=99-(1-1/2+1/2-1/3+1/3-...+1/99-1/100)
=99-99/100
=98+1/100

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