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11又1/2+12又1/6+13又1/12+14又1/20+15又1/30+16又1/42+17又1/56+18又1/72+19又1/90等于?
题目内容:
11又1/2+12又1/6+13又1/12+14又1/20+15又1/30+16又1/42+17又1/56+18又1/72+19又1/90等于?优质解答
11又1/2+12又1/6+13又1/12+14又1/20+15又1/30+16又1/42+17又1/56+18又1/72+19又1/90
=(11+12+13+14+15+16+17+18+19)+(1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90)
=15×9+(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)
=135+(1-1/10)
=135+0.9
=135.9
优质解答
=(11+12+13+14+15+16+17+18+19)+(1/2+1/6+1/12+1/20+1/30+1/42+1/56+1/72+1/90)
=15×9+(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)
=135+(1-1/10)
=135+0.9
=135.9
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