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Why is 0.57 a rational number?

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Answered by Reiny
because I can write is a fraction
.57 = 57/100
Answered by Steve
I have also seen this referring to 0.<u>57</u> meaning a repeating decimal. In that case,

0.<u>57</u> = 57/99

because if
x = 0.<u>57</u>
100x = 57.<u>57</u>

now subtract and the .<u>57</u> part goes away and you are left with

99x = 57
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