(-4/3 )+(7/12 )+(-9/20 )+(11/30) +(-13/42 )+(15/56 ) 怎么算
1个回答

(-4/3 )+(7/12 )+(-9/20 )+(11/30) +(-13/42 )+(15/56 )

= (-4/3)+7/(3*4)-9/(4*5)+11/(5*6)-13/(6*7)+15/(7*8)

= -4/3 +(7/3 -7/4)-(9/4 -9/5 )+(11/5 -11/6 )-(13/6 -13/7)+(15/7 -15/8)

=-4/3 +7/3 -7/4-9/4 +9/5 +11/5 -11/6 -13/6 +13/7+15/7 -15/8

= 3/3 -16/4 +20/5 -24/6 +28/7 -15/8

= 1 -4 + 4 - 4 + 4 - 15/8

= 1 - 15/8

= -7/8