计算:7╱12-9╱20+11╱30-13╱42+15╱56-17╱72。
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7╱12-9╱20+11╱30-13╱42+15╱56-17╱72
=(3+4)/(3x4)-(4+5)/(4x5)+(5+6)/(5x6)-(6+7)/(6x7)+(7+8)/(7x8)-(8+9)/(8x9)
=(1/3+1/4)-(1/4+1/5)+(1/5+1/6)-(1/6+1/7)+(1/7+1/8)-(1/8+1/9)
=1/3+1/4-1/4-1/5+1/5+1/6-1/6-1/7+1/7+1/8-1/8-1/9
=1/3-1/9
=3/9-1/9
=2/9
=(3+4)/(3x4)-(4+5)/(4x5)+(5+6)/(5x6)-(6+7)/(6x7)+(7+8)/(7x8)-(8+9)/(8x9)
=(1/3+1/4)-(1/4+1/5)+(1/5+1/6)-(1/6+1/7)+(1/7+1/8)-(1/8+1/9)
=1/3+1/4-1/4-1/5+1/5+1/6-1/6-1/7+1/7+1/8-1/8-1/9
=1/3-1/9
=3/9-1/9
=2/9
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