Question

CHANGE 0.3222........ IN p/q FORM *

Answer 1

Answer:

33/99

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Answer 2

$Let \: x = 0.3222\ldots \: --(1)$

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

$\implies 10x = 3.222\ldots \: --(2)$

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

$\implies 100x = 32.222\ldots \: --(3)$

/* Subtract equation (2) from Equation (1) , we get */

$\implies 90x = 30$

$\implies x = \frac{30}{90}$

$\implies x = \frac{1}{3} \: \blue { ( \frac{p}{q} \: form ) }$

Therefore.,

$\red{ 0.3222\ldots }\green { = \frac{1}{3} \: \blue { ( \frac{p}{q} \: form ) }}$

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