3/2-5/6+7/12-9/20+11/30-15/42+15/56-17/72

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3/2-5/6+7/12-9/20+11/30-15/42+15/56-17/72
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3/2-5/6+7/12-9/20+11/30-15/42+15/56-17/72
3/2-5/6+7/12-9/20+11/30-15/42+15/56-17/72

3/2-5/6+7/12-9/20+11/30-15/42+15/56-17/72
3/2-5/6+7/12-9/20+11/30-15/42+15/56-17/72
=(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+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
=1-1/9
=8/9

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17/21+15/56-17/72
剩下的你用计算器,慢慢同分吧

3/2-5/6+7/12-9/20+11/30-15/42+15/56-17/72 =8/9
这种东西要自己算啊!

3/2-5/6+7/12-9/20+11/30-15/42+15/56-17/72
=(9/6-5/6)+(35/60-27/60)+(462/1260-450/1260)+15/56-17/72
=(4+8+12)+15/56+17/72
=24+(1080/4032+952/4032)
=24+128
=152