5/6=1/2+1/3,7/12=1/3+1/4,9/20=1/4+1/5.利用上面的规律计算 1+1/2-5/6+7/12-9/20+11/30-13/42
来源:学生作业帮助网 编辑:作业帮 时间:2024/07/05 21:10:12
![5/6=1/2+1/3,7/12=1/3+1/4,9/20=1/4+1/5.利用上面的规律计算 1+1/2-5/6+7/12-9/20+11/30-13/42](/uploads/image/z/1030093-61-3.jpg?t=5%2F6%3D1%2F2%2B1%2F3%2C7%2F12%3D1%2F3%2B1%2F4%2C9%2F20%3D1%2F4%2B1%2F5.%E5%88%A9%E7%94%A8%E4%B8%8A%E9%9D%A2%E7%9A%84%E8%A7%84%E5%BE%8B%E8%AE%A1%E7%AE%97+1%2B1%2F2-5%2F6%2B7%2F12-9%2F20%2B11%2F30-13%2F42)
5/6=1/2+1/3,7/12=1/3+1/4,9/20=1/4+1/5.利用上面的规律计算 1+1/2-5/6+7/12-9/20+11/30-13/42
5/6=1/2+1/3,7/12=1/3+1/4,9/20=1/4+1/5.利用上面的规律计算 1+1/2-5/6+7/12-9/20+11/30-13/42
5/6=1/2+1/3,7/12=1/3+1/4,9/20=1/4+1/5.利用上面的规律计算 1+1/2-5/6+7/12-9/20+11/30-13/42
1+1/2-5/6+7/12-9/20+11/30-13/42
=1+1/2-(1/2+1/3)+(1/3+1/4)-(1/4+1/5)+(1/5+1/6)-(1/6+1/7)
=1-1/7
=6/7
8/7