Convert 1.01 (recurrence on 1 after 0) into fraction.
Answers
Answered by
1
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x=1.01--equation 1
1.0111111111..........
period=1
periodicity=1
so,multiply 100 on both sides.
100×x=100×1.01111111...
101.111111
- 10.111111
-----------------
= 90.00000
90x=90
so x=1
Answered by
0
Answer:
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Step-by-step explanation:
1.0↑10↑
1.010101010101010
- x=1.01010101
- 10x=10.10101
- 100x=101.01010101
- 1000x=1010.101010
- 1000x=1010.101010
- 10x =10.10101010
990x=1000
x=1000/990
x=100/99
hence,the fraction is 100/99
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