14×3/7+0.85×8/17-2/7×14+5/17×0.85=
问题描述:
14×3/7+0.85×8/17-2/7×14+5/17×0.85=
用递等式简算
答
用乘法结合律14*3/7+0.85*8/17-2/7*14+5/17*0.85=14*(3/7-2/7)+0.85*(8/17+5/17)=14*1/7+0.85*13/17=2+0.65=2.65或除法结合律14*3/7+0.85*8/17-2/7*14+5/17*0.85=(14*3-2*14)/7+(0.85*8+5*0.85)/17=14/7+0.85*13/17=...因为
5/8=0.625
3/4=0.75
1/2=0.5
所以
37又5/8*1.75+37.625*2又3/4-1又1/2*37又5/8-3*22.625
=37.625*1.75+37.625*2.75-1.5*37.625-3*22.625
=37.625*(1.75+2.75-1.5)-3*22.625
=37.625*3-3*22.625
=3*(37.625-22.625)
=3*15
=45