数学计算提(简便运算)简便计算(1)3分之11除以2分之15乘于11分之6(2)(2除以5分之3加上5分之3除以2)除以30分之109

问题描述:

数学计算提(简便运算)
简便计算
(1)3分之11除以2分之15乘于11分之6
(2)(2除以5分之3加上5分之3除以2)除以30分之109

(1)11/3除15/2乘6/11
=11/3乘2/15乘6/11
=[(11乘2)/(3乘15)]乘6/11
=(22/45)乘6/11
=(22乘6)/(11乘45)
=132/495
=4/15
(2)[(2除3/5)+(3/5除2)]除109/30
=[(2乘5/3)+(3/5乘1/2)]乘30/109
=(10/3+3/10)乘30/109
=(10/3乘30/109)+(3/10乘30/109)
=300/327+9/1090
=10/109+9/109
=109/109
=1

(1)(11/3)÷(15/2)×(6/11)
=(11/3)×(2/15)×(6/11)
=(11/3)×[(2×6)/(15×11)]……约分:分子分母同时除以3
=(11/3)×4/(5×11)
=(11×4)/(3×5×11)……约分:分子分母同时除以11
=4/15
(2)[(2÷3/5)+(3/5÷2)]÷109/30
=[(2×5/3)+(3/5×1/2)]×30/109
=(10/3+3/10)×30/109
=(10/3×30/109)+(3/10×30/109)
=100/109+9/109
=109/109
=1