递等式计算:71又1/6+61又1/5×5/6+51又1/4×4/5+41又1/3×3/4+31又1/2×2/3

问题描述:

递等式计算:71又1/6+61又1/5×5/6+51又1/4×4/5+41又1/3×3/4+31又1/2×2/3

71又1/6×6/7+61又1/5×5/6+51又1/4×4/5+41又1/3×3/4+31又1/2×2/3
=(70+7/6)×6/7+(60+6/5)×5/6+(50+5/4)×4/5+(40+4/3)×3/4+(30+3/2)×2/3
=60+1+50+1+40+1+30+1+20+1
=205