Question

0.12525 … in the form of a rational number.s

 125/1000    (b) 125/99        (c) 124/1000    (d) 124/990​

Answer 1

$Let \: x = 0.1252525\cdot\cdot\cdot \: --(1)$

/* Multiplying equation (1) by 10, we get */

$\implies 10x = 1.252525\cdot\cdot\cdot \: --(2)$

/* Multiplying equation (2) by 100, we get */

$\implies 1000x = 125.252525\cdot\cdot\cdot --(3)$

/* Subtract equation (2) From equation (3) , we get */

$\implies 990x =124$

$\implies x = \frac{124}{990}$

Therefore.,

$\red { 0.1252525\cdot\cdot\cdot } \green {= \frac{124}{990}}$

$Option \: \pink { ( d) } \: is \: correct$

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