Question

Write as p dy q form given below
3.127bar

Answer 1

Step-by-step explanation:

$\sf Let \: x = 3. \overline{127}.......(1)$

$\sf Then \; 1000x = 3127. \overline{127}.......(2)$

Subtracting 1 from 2 will give,

$\sf 1000x - x = 3127. \overline{127} - 3. \overline{127}$

$\sf 999x = 3124$

$\sf x = \dfrac{3124}{999}$

$\sf \therefore 3. \overline{127} \: in \: \dfrac{p}{q} \: form \: is \: \dfrac{3124}{999}$

Hope it helps.