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2/3+3/4+4/5+5/6+6/7+7/8=?
题目详情
2/3+3/4+4/5+5/6+6/7+7/8=?
▼优质解答
答案和解析
2/3+3/4+4/5+5/6+6/7+7/8
=1-1/3+1-1/4+1-1/5+1-1/6+1-1/7+1-1/8
=6-(1/3+1/4+1/5+1/6+1/7+1/8)
=6-(1/3+1/4+1/6+1/5+1/7+1/8)
=6-(4/12+3/12+2/12+1/8+7/35+5/35)
=6-(9/12+1/8+12/35)
=6-(6/8+1/8+12/35)
=6-(7/8+12/35)
=6-(245/280+96/280)
=6-341/280
=6-1-61/280
=4又219/280
=1-1/3+1-1/4+1-1/5+1-1/6+1-1/7+1-1/8
=6-(1/3+1/4+1/5+1/6+1/7+1/8)
=6-(1/3+1/4+1/6+1/5+1/7+1/8)
=6-(4/12+3/12+2/12+1/8+7/35+5/35)
=6-(9/12+1/8+12/35)
=6-(6/8+1/8+12/35)
=6-(7/8+12/35)
=6-(245/280+96/280)
=6-341/280
=6-1-61/280
=4又219/280
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