Express the following decimals in the form (p)/(q). 0.003overline (52)

Name: express the following decimals in the form $\frac {p}{q}$. $0.003\overline {52}$
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Answer 1

Let,

Obviously, there are three digits on the right side of the decimal point that have no bars.So, first we need to multiply both sides.

by

In this way, there are only repeated decimals left on the right side of the decimal point.

Therefore, the decimal form of the given number is.

.

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