express 0.003522....in p/q form

1 answer

Do you mean the last "2" is a recurring decimal, like: 0.003522222222...?
0.003522222...
=35.2222...÷10000
=(35+2/9)÷10000
=(317/9)÷10000
=317/90000

Note:
To convert recurring decimals that start at the decimal point, divide by 999...
For example:
0.142857142857...
=142857/999999
=1/7
or
0.369369369...
=369/999
=41/111
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