Question

Express each of the following in the form of $\frac{p}{q}$.

$\mathrm{3570.417417.....}$

• A. $\frac{3566847}{999}$
• B. $\frac{3566847}{9999}$
• C. $\frac{3566847}{99}$
• D. $\frac{3566847}{1999}$

Answer 1

The correct option is A $\frac{3566847}{999}$

Let $x=3570.\overline{417}$ ..........(I)

$\Rightarrow 1000x=3570417.\overline{417}$ ..........(II)

Subtracting (I) from (II) we get,

$999x=3566847$

$\therefore x=\frac{3566847}{999}$.

Ans-Option $A$.