How is 0.246 (Repeated sign over the 4 and 6) written as a fraction in simplest form?

asked Apr 26, 2023 11.2k views

5 votes

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2 votes

Solution

We are given

$0.2\bar{\text{ 46}}=0.246464646....$

So we have

$\begin{gathered} 0.2464646...=0.2+0.046464646 \\ 0.2464646...=(2)/(10)+(46)/(990) \\ 0.2464646...=(122)/(495) \end{gathered}$

Therefore, the answer is

Ashish Kadam answered May 1, 2023

5.3k points

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