小学数学题，又谁会呢？
一，2/2×4+2/4×6+2/6×8+……+2/96×98+2/98×100 二，1/1×4+1/4×7+1/7×10+1/10×13+1/13×16+1/16×19+1/19×22
一，2/2×4+2/4×6+2/6×8+……+2/96×98+2/98×100 (因为每一项的分母为两个数字的乘积，将它们转化为两个分式的差) =[(1/2)-(1/4)]+[(1/4)-(1/6)]+[(1/6)-(1/8)]+……+[(1/96)-(1/98)]+[(1/98)-(1/100)] =(1/2)-(1/4)+(1/4)-(1/6)+(1/6)-(1/8)+……+(1/96)-(1/98)+(1/98)-(1/100) =(1/2)-(1/100) =49/100 二，1/1×4+1/4×7+1/7×10+1/10×13+1/13×16+1/16×19+1/19×22 =(1/3)*[1-(1/4)]+(1/3)*[(1/4)-(1/7)]+……+(1/3)*[(1/16)-(1/19)]+(1/3)*[(1/19)-(1/22)] =(1/3)*[1-(1/4)+(1/4)-(1/7)+……+(1/16)-(1/19)+(1/19)-(1/22)] =(1/3)*[1-(1/22)] =(1/3)*(21/22) =7/22。
2/2*4+2/4*6+2/6*8......2/98*100 =2*(1/2-1/4+1/4-1/6+...+1/98-1/100) =2*(1/2-1/100) =2*49/100 =49/50 1/1*4+1/4*7+1/7*10+1/10*13+1/13*16 =1/3*(1-1/4)+1/3*(1/4-1/7)+1/3*(1/7-1/10)+1/3*(1/10-1/13)+1/3*(1/13-1/16) =1/3*(1-1/4+1/4-1/7+1/7-1/10+1/10-1/13+1/13-1/16) =1/3*(1-1/16) =1/3*15/16 =5/16
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