How to calculate (1 / 4 × 6 / 1 + 6 / 1 × 8 / 1 + 8 / 1 × 10 / 1 + 10 / 1 × 12 / 1) × 2 easily?

How to calculate (1 / 4 × 6 / 1 + 6 / 1 × 8 / 1 + 8 / 1 × 10 / 1 + 10 / 1 × 12 / 1) × 2 easily?

(1/4*1/6+1/6*1/8+1/8*1/10+1/10*1/12)*2
=[(1/4-1/6)*1/2+(1/6-1/8)*1/2+(1/8-1/10)*1/2+(1/10-1/12)*1/2]*2
=[(1/4-1/6)+(1/6-1/8)+(1/8-1/10)+(1/10-1/12)]*2*1/2
=(1/4-1/6)+(1/6-1/8)+(1/8-1/10)+(1/10-1/12)
=1/4-1/12
=3/12-1/12
=2/12
=1/6