1-1/2-1/4-1/8-1/16-1/32

1-1/2-1/4-1/8-1/16-1/32=1-(1-1/2)-（1/2-1/4）-（1/4-1/8）-（1/8-1/16）-（1/16-1/32）=1-1+1/2-1/2+1/4-1/4+1/8-1/8+1/16-1/16+1/32=1/321/2+1/4+1/8+16/1 =(1-1/2)+(1/2-1/4)+（1/4-1/8）+（1/8-1/16）=1-1/2+1/2-1/4+1/4-1/8+1/8-1/16=1-1/16=15/161/2+1/6+1/12+1/20+1/30 =(1-1/2)+(1/2-1/3)+(1/3-1/4)+(1/4-1/5)+(1/5-1/6)=1-1/2+1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6=1-1/6=5/61/3+1/15+1/35+1/63=(2/3+2/15+2/35+2/63)÷2=【（1-/3）+(1/3-1/5)+(1/5-1/7)+(1/7-1/9)】÷2=【1-1/3+1/3-1/5+1/5-1/7+1/7-1/9】÷2=【1-1/9】÷2=（8/9）÷2=4/9