Question

2. Express 0.17333.... in the form p/q,
where p and q are integers and q = 0.
​

Answer 1

$Let \: x = 0.17333\ldots \: --(1)$

/* Multiplying equation (1) by 100, we get */

$\implies 100x = 17.333\ldots \: --(2)$

/* Multiplying equation (2) by 10, we get */

$\implies 1000x = 173.333\ldots \: ---(3)$

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

$\implies 900x = 156$

$\implies x = \frac{156}{900}$

$\implies x = \frac{13}{75}\: \blue{ ( \frac{p}{q} \: form )}$

Therefore.,

$\red{ 0.17333\ldots } \green { = \frac{13}{75} }$

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