简便运算：1又1\3-7\12+9\20-11\30+13\40-15\56=

简便运算：1又1\3-7\12+9\20-11\30+13\40-15\56=
简便运算：1又1\3-7\12+9\20-11\30+13\40-15\56=

简便运算：1又1\3-7\12+9\20-11\30+13\40-15\56=
1又1\3-7\12+9\20-11\30+13\40-15\56=
=1+1/3-(1/3+1/4)+(1/4+1/5)-(1/5+1/6)+(1/6+1/7)-(1/7+1/8)
=1+1/3-1/3-1/4+1/4+1/5-1/5-1/6+1/6+1/7-1/7-1/8
=1-1/8
=7/8
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1又1\3-7\12+9\20-11\30+13\40-15\56=
=4/3-7/12+9/20-11/30+【13/42】-15/56
=1+1/3-(1/3+1/4)+(1/4+1/5)-(1/5+1/6)+(1/6+1/7)-(1/7+1/8)
=1-1/8
=7/8