急,简便运算:6/1+15/8+28/3-35/2-44/7
问题描述:
急,简便运算:6/1+15/8+28/3-35/2-44/7
还有:(2+5+8+。+2000)-(1+4+7+。+1999)
一又四分之一减20分之九加30分之11减42分之13加56分之15
快的提高悬赏
答
1.分子分母反过来看,
6/1应该是1/6(六分之一吧)
以此类推.
6/1+15/8+28/3-35/2-44/7
1/6+8/15+3/28-2/35-7/44
=(1/2-1/3)+(1/3+1/5)+(1/4-1/7)-(1/5-1/7)-(1/4-1/11)
=1/2-1/3+1/3+1/5+1/4-1/7-1/5+1/7-1/4+1/11
=1/2+1/11
=11/22+2/22
=13/22
2.
(2+5+8+.+2000)-(1+4+7+.+1999)
=(2-1)+(5-4)+(8-7)+...+(2000-1999)
=1×[(2000-2)÷(5-2)+1]
=1×667
=667
3.
1又1/4-9/20+11/30-13/42+15/56
=1+1/4-(4/20+5/20)+(5/30+6/30)-(6/42+7/42)+(7/56+8/56)
=1+1/4-1/5+1/4+1/6+1/5-1/6-1/7+1/7+1/8
=1+5/8
=1又5/8