Question

24分之11加三分之一加四分之三加五分之二加七分之五加八分之七加二十分之九加二十一分之十加三十五分之

12分之11加三分之一加四分之三加五分之二加七分之五加八分之七加二十分之九加二十一分之十加三十五分之十二 巧算

Answer 1

11/12+1/3+3/4+2/5+5/7+7/8+9/20+10/21+12/35
=2/3+1/4+1/3+3/4+2/5+5/7+7/8+9/20+10/21+12/35
=2/3+1/3+1/4+3/4+2/5+5/7+7/8+9/20+10/21+12/35
=1+1+2/5+5/7+7/8+9/20+10/21+12/35
=2+2/5+5/7+7/8+1/4+1/5+1/3+1/7+1/7+1/5
=2+2/5+1/5+1/5+5/7+1/7+1/7+7/8+1/4+1/3
=2+4/5+1+7/8+1/4+1/3
=3+4/5+7/8+2/8+1/3
=3+4/5+9/8+1/3
=3+4/5+1+1/8+1/3
=4+4/5+1/8+1/3
=4+96/120+15/120+40/120
=4+(96+15+40)/120
=4+151/120
=4+1+31/120
=5+31/120
=5又31/120

Answer 2

11/12+1/3+3/4+2/5+5/7+7/8+9/20+10/21+12/35
=2/3+1/4+1/3+3/4+2/5+5/7+7/8+9/20+10/21+12/35
=2/3+1/3+1/4+3/4+2/5+5/7+7/8+9/20+10/21+12/35
=1+1+2/5+5/7+7/8+9/20+10/21+12/35
=2+2/5+5/7+7/8+1/4+1/5+1/3+1/7+1/7+1/5
=2+2/5+1/5+1/5+5/7+1/7+1/7+7/8+1/4+1/3
=2+4/5+1+7/8+1/4+1/3
=3+4/5+7/8+2/8+1/3
=3+4/5+9/8+1/3
=3+4/5+1+1/8+1/3
=4+4/5+1/8+1/3
=4+96/120+15/120+40/120
=4+(96+15+40)/120
=4+151/120
=4+1+31/120
=5+31/120
=5又31/120