42/1 + 56/1 +72/1 + 90/1 + 110/1 + 132/1=?错了,是1/42+1/56+1/72+1/90+1/110+1/132

来源:学生作业帮助网 编辑:六六作业网 时间:2024/12/18 18:02:09
42/1+56/1+72/1+90/1+110/1+132/1=?错了,是1/42+1/56+1/72+1/90+1/110+1/13242/1+56/1+72/1+90/1+110/1+132/1=

42/1 + 56/1 +72/1 + 90/1 + 110/1 + 132/1=?错了,是1/42+1/56+1/72+1/90+1/110+1/132
42/1 + 56/1 +72/1 + 90/1 + 110/1 + 132/1=?
错了,是1/42+1/56+1/72+1/90+1/110+1/132

42/1 + 56/1 +72/1 + 90/1 + 110/1 + 132/1=?错了,是1/42+1/56+1/72+1/90+1/110+1/132
1/42=1/(6*7)=1/6-1/7
1/56=1/(7*8)=1/7-1/8
1/72=1/8-1/9
.
1/132=1/11-1/12
1/42+1/56+1/72+1/90+1/110+1/132=1/6-1/12=1/12

1/6-1/7+1/7-1/8+1/8-1/9+1/9-1/10+1/10-1/11+1/11-1/12=1/6-1/12=1/12

90+110=200
42+72+56=44+56+70=170
最后得200+170+132=502