3又6分之5减2又8分之7加5又12分之11,如何巧拆分,重新组合计算

问题描述:

3又6分之5减2又8分之7加5又12分之11,如何巧拆分,重新组合计算

35/6-27/8+511/12=(4-1/6)-(3-1/8)+(6-1/12)=(4-3+6)-(1/6+1/8+1/12)=7+3/8

3又6分之5减2又8分之7加5又12分之11=(4-1/6)-(3-1/8)+(6-1/12)=13-(1/6-1/8+1/12)=13-(4-3+2)/24=13-1/8=12+7/8

=4-1/6-3+1/8+6-1/12=7-1/2+1/3-1/3+1/4+1/8=7-1/4+1/8=7-1/8