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问题: 简便计算题

6又7/13-3.6-2又2/5

4.75*1.1-4又3/4*0.1-4又3/4

6.39除以5/7+3.61除以5/7

1.5*3.6+6.1除以2/3+0.3*1又1/2

1/2+5/6-7/12+9/20-1/30-15/56-1/42

解答:

6又7/13-3.6-2又2/5
==>85/13-(18/5+12/5)
==>85/13-6
==>85/13-78/13
==>7/13

4.75*1.1-4又3/4*0.1-4又3/4
==>19/4*11/10-19/4*1/10-19/4
==>19/4(11/10-1/10-1)
==>19/4*0
==>0

6.39除以5/7+3.61除以5/7
==>6.39*7/5+3.61*7/5
==>7/5(6.39+3.61)
==>7/5*10
==>14

1.5*3.6+6.1除以2/3+0.3*1又1/2
==>3/2*3.6+6.1*3/2+0.3*3/2
==>3/2(3.6+6.1+0.3)
==>3/2*10
==>15

1/2+5/6-7/12+9/20-1/30-15/56-1/42
==>(3*1/6)+(5*1/6)-(7/2*1/6)+(27/10*1/6)-(1/5*1/6)-(45/28*1/6)-(1/6*1/7)
==>1/6(3+5-7/2+27/10-1/5)-1/6(45/28+1/7)
==>1/6*7-1/6*7/4
==>1/6(7-7/4)
==>1/6*21/4
==>21/24=7/8