小学六年级数学题:1/1*2+1/2*3+1/3*4+.+1/29*30=?

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小学六年级数学题:1/1*2+1/2*3+1/3*4+.+1/29*30=?

小学六年级数学题:1/1*2+1/2*3+1/3*4+.+1/29*30=?
小学六年级数学题:1/1*2+1/2*3+1/3*4+.+1/29*30=?

小学六年级数学题:1/1*2+1/2*3+1/3*4+.+1/29*30=?
1/1*2+1/2*3+1/3*4+.+1/29*30
=1-1/2+1/2-1/3+1/3.+1/29-1/30
=1-1/30=29/30 请采纳

1/1×2+1/2×3+1/3×4+......+1/29×30
=(1-1/2)+(1/2-1/3)+(1/3-1/4)+.......+(1/29-1/30)
=1-1/30
=29/30

1/1×2+1/2×3+1/3×4+......+1/29×30
=(1-1/2)+(1/2-1/3)+(1/3-1/4)+.......+(1/29-1/30)
=1-1/30
=29/30

1/1×2+1/2×3+1/3×4+…+1/29×30
=1/1-1/2+1/2-1/3+1/3…-1/29+1/29-1/30
=1-(1/2-1/2)-(1/3-1/3)…-(1/29-1/29)-1/30
=1-1/30
=29/30