能简算的要简算98*96/974/9*3/16+5/12

问题描述:

能简算的要简算
98*96/97
4/9*3/16+5/12

1)=98*(1-1/97)=98-98/97=96又96/97
2)=4/9*3/16+4/9*15/16=4/9*(15/16+3/16)=1/2

98*96/97=(97+1)(97-1)/97=97^2-1/97=97-1/97=96又96/97
4/9*3/16+5/12=1/3*1/4+5/12=1/12+5/12=6/12=1/2

98*96/97
=(97+1)(97-1)/97
=(97²-1)/97
=97²/97-1/97
=97-1/97
=96又96/97
4/9*3/16+5/12
=1/3*1/4+5/12
=1/12+5/12
=6/12
=1/2