Express the following in the form p/q,where p and q are integers and q not equal to 0 (a) 0.888.... (b) 5.222... (c) 0.134134... (d) 0.00323232... (e) 0.404040....
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Answer in the p/q form
1. 0.888... = 8/9
2. 5.222... = 47/9
3. 0.134134... = 134/999
4. 0.00323232... = 0.32/99
5. 0.404040... = 40/99
In all these numbers, there is a non-ending sequence of same digits. This is possible only when the number is divided by 9, 99, 999, and so on. Hence, using this principle we can find the answer.
1. 0.888... = 8/9
2. 5.222... = 47/9
3. 0.134134... = 134/999
4. 0.00323232... = 0.32/99
5. 0.404040... = 40/99
In all these numbers, there is a non-ending sequence of same digits. This is possible only when the number is divided by 9, 99, 999, and so on. Hence, using this principle we can find the answer.
tejasmba:
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Answered by
2
1. 0.888... = 8/9
1. 0.888... = 8/92. 5.222... = 47/9
1. 0.888... = 8/92. 5.222... = 47/93. 0.134134... = 134/999
1. 0.888... = 8/92. 5.222... = 47/93. 0.134134... = 134/9994. 0.00323232... =32/99
5. 0.404040...=40/99
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