3/2*5+2/5*7+4/7*11+5/11*16+6/11*22+7/22*29+1/29
问题描述:
3/2*5+2/5*7+4/7*11+5/11*16+6/11*22+7/22*29+1/29
答
1/1 * 2 2/2 * 4 3/4 * 7 4/7 * 11 5/11 * 16 6/16 * 22 7/22 * 29 8/29 * 37 = 1-1/2 +1/2-1 / 4 +1/4-1 / 7 +1/7-1 / 11 +1/11-1 / 16 +1/16-1 / 22 + 1 / 22-1/29 +1/29-1 / 37
= 1-1/37
= 36/37