Question

Express 0.361 recurring decimal into fraction

Answer 1

Step-by-step explanation:

Since, 0.361 is a recurring decimal number.

Hence,

$Let \: x = 0. \overline{361}....(1) \\ multiplying \: both \: sides \: by \: 1000 \\ 1000x = 361.\overline{361} \\ \therefore 1000x = 361 + 0.\overline{361}....(2) \\ subtracting \: equation \: (1) \: from \: \\ equation \: (2) \\ 1000x - x= 361 + 0.\overline{361} - 0.\overline{361} \\ \therefore \: 999x = 361 \\ \implies \huge \boxed{\: x = \frac{361}{999} }$

Answer 2

It becomes $\dfrac{361}{1000}$

Step-by-step explanation:

Since we have given that

$0.361$

We need to rewrite into fraction:

$0.361=361\times 10^{-3}$

So, it becomes,

$\dfrac{361}{10^{3}}=\dfrac{361}{1000}$

Hence, it becomes $\dfrac{361}{1000}$

# learn more:

Express 0.361 recurring as a fraction

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