express the following in the form p /q ,where p and q are integers and q #0
a) 0.6
b) 0.47
c) 0.001
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Answer:
a)0.6666666...
x=0.66666....1
10x=6.66666.....2
subtracting 1 and 2
10x-x=6.66666-0.66666
9x=6
x=6/9
x=2/3
b)0.47474747......
x=0.474747.....1
10x=4.7474747....
100x=47.474747....2
subtracting 1 and 2
100x-10x=47.474747- 0.474747
90x=47
x=47/90
c)0.001001.....
x=0.001001001....1
10x=0.01001001...
100x=0.1001001...
1000x=1.001001....2
subtracting 1 and 2
1000x-x=1.001001- 0.001001
999x=1
x=1/999
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