(1/3-1/2)÷(1/4 1/3)*（1/5-1/4)÷(1/6 1/5)*(1/7-1/6)÷(1/8 1/7)简便计算

(1/3-1/2)÷(1/4-1/3)×(1/5-1/4)÷(1/6-1/5)×(1/7-1/6)÷(1/8-1/7)
=[(1/3-1/2)×(1/5-1/4)×(1/7-1/6)]/[(1/4-1/3)×(1/6-1/5)×(1/8-1/7)]
=[(1/2-1/3)×(1/4-1/5)×(1/6-1/7)]/[(1/3-1/4)×(1/5-1/6)×(1/7-1/8)]
=[(1/(2×3))×(1/(4×5))×(1/(6×7))]/[(1/(3×4))×(1/(5×6))×(1/(7×8))]
=[1/(2×3×4×5×6×7)]/[1/(3×4×5×6×7×8)]
=(3×4×5×6×7×8)/(2×3×4×5×6×7)
=4

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