Question

express the following in p/q form. 0.3535
0.58585858
0.3222
0.3525252

Answer 1

$0.3535 = 3535 \div 1000$

$0.58585858 = 58585858 \div 100000000$

$0.3222 = 3222 \div 10000$

$0.3525252 = 3525252 \div 10000000$

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Answer 2

1.]

$HEY \: MATE \: \: HERE \\ IS \: \: YOUR \: \: ANSWER \\ \\ \\ let \: x = 0.353535.... \\ 100x = \: \: 35.353535.... \\ 99x \: \: \: = 35 + x \\ x = 35/99$

2.]

$let \: x = 0.585858.... \\ 100x = 58.585858.... \\ 99x = 58 \\ x = 58/99$

3.]

$let \: x = 0.3222.... \\ 10x = 3.2222... \\ 9x = 3.1 \\ x = 3.1/10 \\ x = 31/90$

4.]

$0.35252525/10000 \\ = 3525 \\ and \: \: it \: \: is \: \: not \: \: possible$