计算下题,并写出过程,谢谢。
81又1/7*7/8+71又1/6*6/7+61又1/5*5/6+51又1/4*4/5+41又1/3*3/4=?...
81又1/7 * 7/8 + 71又1/6 * 6/7 + 61又1/5 * 5/6 + 51又1/4 * 4/5 + 41又1/3 * 3/4 = ?
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81又1/7 * 7/8 + 71又1/6 * 6/7 + 61又1/5 * 5/6 + 51又1/4 * 4/5 + 41又1/3 * 3/4
=(81*7+1)/7*7/8+(71*6+1)/6*6/7+(61*5+1)/5*5/6+(51*4+1)/4*4/5+(41*3+1)/3*3/4
=(81*7+1)/8+(71*6+1)/7+(61*5+1)/6+(51*4+1)/5+(41*3+1)/4
=((80+1)*7+1)/8+((70+1)*6+1)/7+...
=(80*7+7+1)/8+(70*6+6+1)/7+...
=71+61+51+41+31
=255
=(81*7+1)/7*7/8+(71*6+1)/6*6/7+(61*5+1)/5*5/6+(51*4+1)/4*4/5+(41*3+1)/3*3/4
=(81*7+1)/8+(71*6+1)/7+(61*5+1)/6+(51*4+1)/5+(41*3+1)/4
=((80+1)*7+1)/8+((70+1)*6+1)/7+...
=(80*7+7+1)/8+(70*6+6+1)/7+...
=71+61+51+41+31
=255
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