Question

Express 0.732323232 ……..in the form of p/q

Answer 1

Answer:

hope it helps u..........

Answer 2

$Let \: x = 0.7\bar{32} \: --(1)$

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

$\implies 10x = 7.\bar{32} \: ---(2)$

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

$\implies 1000x = 732.\bar{32} \: --(3)$

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

$\implies 990x = 725$

$\implies x = \frac{725}{990}$

$\implies x = \frac{5 \times 145}{5 \times 198}$

$\implies x = \frac{145}{198} \: \blue{ ( \frac{p}{q} \: form )}$

Therefore.,

$\red{ 0.732323232\ldots }\green { =\frac{145}{198} }$

$\blue{ ( \frac{p}{q} \: form )}$

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