Question

Express the number 0.3178(bar in 178) in the form of rational number

Answer 1

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Answer 2

Answer: It can be rewritten in $\frac{p}{q}$ form i.e. $\dfrac{3175}{9990}$

Step-by-step explanation:

Since we have given that

let x = $0.3\overline{178}$ -------------(1)

Now, we will multiply it with 1000 on both sides,

$1000x=317.\bar{8}$----------(2)

Now, Subtract (1) from (2), we get that

$1000x-x=317.8178....-0.3178......\\\\999x=317.5\\\\x=\frac{317.5}{999}\\\\x=\frac{3175}{9990}$

Hence, it can be rewritten in $\frac{p}{q}$ form i.e. $\dfrac{3175}{9990}$