55乘(33分之1-44分之1+55分之1)简便计算.

问题描述:

55乘(33分之1-44分之1+55分之1)简便计算.

55*(1/33-1/44+1/55)
=5*11*(1/33-1/44+1/55)
=5*(11*1/33-11*1/44+11*1/55)
=5*(1/3-1/4+1/5)
=5*(4/12-3/12+1/5)
=5*(1/12+1/5)
=5*1/12+5*1/5
=5/12+1
=17/12