问几道数学思考题(急 要过程)

⑴62又80/89×1/9
=(63-9/89)*1/9
=63*1/9-9/89*1/9
=7-1/89
=6又88/89

⑵9又4/5＋99又4/5＋999又4/5＋9999又4/5＋4/5
=(9又4/5+1/5)＋(99又4/5+1/5)＋(999又4/5+1/5)＋(9999又4/5+1/5)
=10+100+1000+10000
=11110

⑶2006÷2006又2006/2007
=2006/[(2006*2007+2006)/2007]
=2006/[2006*2008/2007]
=2006*[2007/(2006*2008)]
=(2006*2007)/(2006*2008)
=2007/2008

⑷1×3＋2×6＋3×9＋4×12＋5×15/1×2＋2×4＋3×6＋4×8＋5×10
=[1*3+2*(1*3)+3*(1*3)+4*(1*3)+5*(1*3)]/[1*2+2*(1*2)+3*(1*2)+4*(1*2)+5*(1*2)]
=[(1*3)*(1+2+3=4+5)]/[(1*2)*(1+2+3+4+5)]
=3/2

⑸84又4/19×1.375＋105又5/19×0.9
=(21又1/19)*4*1.375＋(21又1/19)*5*0.9
=21又1/19*5.5+21又1/19*4.5
=21又1/19*(5.5+4.5)
=21又1/19*10
=21*10+1/19*10
=210+10/19
=210又10/19

⑹(1＋1/2) ×(1－1/2) ×(1＋1/3) ×(1－1/3) ×…×(1＋1/100) ×(1－1/100)
=1/2*1/2*4/3*2/3*......*101/100*99/100
=1/2*101/100
=101/200

⑺(1－1/2×1/2) ×(1－1/3×1/3) ×(1－1/4×1/4) ×…