How much is 1 + 1 / 2-5 / 6 + 7 / 12-9 / 20 + 11 / 30-13 / 42 + 15 / 56-17 / 72, Please explain clearly, children should be able to understand

How much is 1 + 1 / 2-5 / 6 + 7 / 12-9 / 20 + 11 / 30-13 / 42 + 15 / 56-17 / 72, Please explain clearly, children should be able to understand

1+1/2-5/6+7/12-9/20+11/30-13/42+15/56-17/72
=1+1/2-(1/2+1/3)+(1/3+1/4)-…… +(1/7+1/8)-(1/8+1/9)
=1+1/2-1/2-1/3+1/3+1/4+…… +1/7+1/8-1/8-1/9
=1-1/9
=8/9