2/1+4/3+8/7+16/15+32/31+64/63=?(用简便的方法计算)

2/1+4/3+8/7+16/15+32/31+64/63=?(用简便的方法计算)
2/1+4/3+8/7+16/15+32/31+64/63=?(用简便的方法计算)

2/1+4/3+8/7+16/15+32/31+64/63=?(用简便的方法计算)
分数的写法,分子/分母 ；
四分之一,1/4 = 0.25 ；
题目你有没有写错啊?
1/2 + 3/4 + 7/8 + 15/16 + 31/32 + 63/64
= 1/2 + (2+1)/4 + (6+1)/8 + (14+1)/16 + (30+1)/32 + (62+1)/64
= 1/2 + 1/2 + (1/4 + 3/4) + (1/8 + 7/8) + (1/16 + 15/16) + (1/32 + 31/32) + 1/64
= 2/2 + 4/4 + 8/8 + 16/16 + 32/32 + 1/64
= 5+ 1/64
假如题目没错,那么
2/1 + 4/3 + 8/7 + 16/15 + 32/31 + 64/63
= 2 + (1+ 1/3) + (1+ 1/7) + (1+ 1/15) + (1+ 1/31) + (1+ 1/63)
= 2 + 5 + 1/63 + 1/3 + 1/7 + 1/15 + 1/31
= 7 + 5/315 + 105/315 + 45/315 + 21/315 + 1/31
= 7 + 176/315 + 1/31
= 7 + 175/315 + 1/315 + 1/31
= 7 + 25/45 + (31+315)/(315X31)
= 7 + 5/9 + 346/ 9765
= 7 + 346/ 9765 + 5X1085/ 9765
= 7 + 346/ 9765 + 5425/ 9765
= 7 + 5771/ 9765