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標題:
循環小數化分數
發問:
1.0.666666...... 2.0.744444....... 3.0.45454545...... 4.0.944444444...... 5.0.148...... 6.0.5678........
最佳解答:
Q1. x = 0.6666... 10x = 6.666... 10x - x = 6.666.... - 0.6666... = 6 9x = 6, x = 6/9 = 2/3. Q2. 0.7444.... = 0.7 + 0.0444... = 0.7 + 0.4444/10. Let x = 0.444... 10x = 4.4444... 10x - x = 9x = 4, x = 4/9 so 0.74444 = 0.7 + 4/90 = 7/10 + 4/90 = (63 + 4)/90 = 67/90. Q3. x = 0.454545... 100x = 45.4545... 100x - x = 99x = 45, so x = 45/99= 5/11. Q4. 0.9444... = 0.9 + 0.4444/10 = 9/10 + 4/90 = (81 + 4)/90 = 85/90 = 17/18 Q5. You mean 0.14888888.... or 0.148148148.....? Q6. You mean 0.5678888... or 0.567856785678... ? 2009-08-24 14:47:27 補充： Q5. 0.148148148... = 148/999. 0.14888888... = 67/450. Q6. 0.56785678... = 5678/9999. 0.5678888888.... = 5111/9000.
其他解答:
只要唔要重覆之後果d數字就是了6CC7293C79127CE5
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