represent 1.494949......in the form of p/q?
回答 (4)
2016-06-15 3:39 pm
We'll say x = 1.494949...
So 100x = 149.494949...
Subtract those:
99x = 148
x = 148/99
So 100x = 149.494949...
Subtract those:
99x = 148
x = 148/99
2016-06-15 3:42 pm
Let x = 1.494949......
100x = 149.4949......
x = 1.494949......
99x = 148
x = 148/99
1.494949......
= 148/99
100x = 149.4949......
x = 1.494949......
99x = 148
x = 148/99
1.494949......
= 148/99
2016-06-15 3:41 pm
Let S = 1.494949......
Then 100S = 149.494949......
Subtract S from 100S :
100 - S = (149.494949......) - (1.494949......)
99S = 148
S = 148/99
Hence, 1.494949...... = 148/99
Then 100S = 149.494949......
Subtract S from 100S :
100 - S = (149.494949......) - (1.494949......)
99S = 148
S = 148/99
Hence, 1.494949...... = 148/99
2016-06-15 3:41 pm
Let x = 1.4949...
100x = 149.49...
100x - x = 149.49... - 1.4949...
99x = 148
x = 148/99
100x = 149.49...
100x - x = 149.49... - 1.4949...
99x = 148
x = 148/99
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