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(49-1/8)x1/8+(46-1/8)x1/8+(43-1/8)x1/8+.+(1-1/8)x1/8=?
题目详情
(49-1/8)x1/8+(46-1/8)x1/8+(43-1/8)x1/8+.+(1-1/8)x1/8=?
▼优质解答
答案和解析
一共 （49-1）÷3+1=48÷3+1=17项
(49-1/8)x1/8+(46-1/8)x1/8+(43-1/8)x1/8+.+(1-1/8)x1/8
=49x18+46x1/8+...1x1/8-1/8x1/8x17
=1/8x(49+1)x17÷2-17/64
=850/16-17/64
=3400/64-17/64
=3383/64
(49-1/8)x1/8+(46-1/8)x1/8+(43-1/8)x1/8+.+(1-1/8)x1/8
=49x18+46x1/8+...1x1/8-1/8x1/8x17
=1/8x(49+1)x17÷2-17/64
=850/16-17/64
=3400/64-17/64
=3383/64
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