Question

2/3+2/4+2/5+2/6+2/7+2/8+2/9+2/10

Answer 1

2／3十2／4十2／5十2／6十2／7十2／8＋2／9＋2／10
＝（4／6十2／6）十（4／8十2／8）十（4／10＋2／10）＋2／7十2／9
＝l＋3／4十4／5＋2／7＋2／9
＝l＋（15＋16）／20+（18十14）／63
＝1十l又11／20＋32／63
＝2十11／20＋32／63
＝2十（11x63＋32x20）／63

＝l十（15十16）／20十（18＋14）／63
＝l＋3l／20+32／63
＝1十（3lx63十32x20）／1260
＝1＋2593／1260
＝3又73／1260

Answer 2

答案为3001/1260，算式可化为（2/3+2/6+2/9）+（2/4+2/8）+（2/5+2/10）+2/7=（12+6+4）/18+（4+2）/8+（4+2）/10+2/7=22/18+6/8+6/10+2/7=11/9+3/4+3/5+2/7=（11*4*5*7+3*9*5*7+3*9*4*7+2*9*4*5）/1260=（1540+945+756+360）/1260=3001/1260

Answer 3

2/3+2/4+2/5+2/6+2/7+2/8+2/9+2/10
=（2/3+1/3）+（2/4+1/4）+（2/5+1/5）+（3/9+2/9）+2/7
=1+3/4+3/5+5/9+2/7
=1+（15+12）/20+（35+18）/63
=1+27/20+53/63
=1+1+7/20+53/63
=2+（441+1060）/1260
=2+1+241/1260
=3又1260分之241

Answer 4

2/3+2/4+2/5+2/6+2/7+2/8+2/9+2/10
=（2/3+1/3）+（2/4+1/4）+（2/5+1/5）+（3/9+2/9）+2/7
=1+3/4+3/5+5/9+2/7
=1+（15+12）/20+（35+18）/63
=1+27/20+53/63
=1+1+7/20+53/63
=2+（441+1060）/1260
=2+1+241/1260
=3又1260分之241

Answer 5

2/3+2/4+2/5+2/6+2/7+2/8+2/9+2/10

=（2/3+1/3）+（2/4+1/4）+（2/5+1/5）+（3/9+2/9）+2/7

=1+3/4+3/5+5/9+2/7

=1+（15+12）/20+（35+18）/63

=1+27/20+53/63
=1+1+7/20+53/63

=2+（441+1060）/1260
=2+1+241/1260

=3+241\1260
=（420+241）/1260
=661/1260