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Answer:
(i) Let x=0.666 ...............(1)
Multiply by 10 we get
10x=6.666 .....................(2)
Substract (1) from (2), we get
9x=6⇒x=
9
6
=
3
2
Here p=2 or q=3.
(ii) Let x=0.47777 ...............(1)
Multiply by 10 we get
10x=4.7777 .....................(2)
Substract (1) from(2), we get
9x=4.3⇒x=
9
4.3
=
90
43
Here p=43 or q=90.
(iii) Let x=0.001001001 ...............(1)
Multiply by 1000 we get
1000x=1.001001 .....................(2)
Substract (1) from (2), we get
999x=1⇒x=
999
1
Here p=1 or q=999.
Step-by-step explanation:
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