For a rope, cut two fifths of its length for the first time, two thirds of its length for the second time, and two meters for the third time. How long is the rope

For a rope, cut two fifths of its length for the first time, two thirds of its length for the second time, and two meters for the third time. How long is the rope

(1/2+2)÷(1-2/5-2/5×2/3)
=2.5÷1/3
=7.5m