Question

11. The value of 0.04151515…. in the form p/q is

Answer 1

Answer:

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Answer 2

$Let \: x = 0.04151515\ldots \: ---(1)$

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

$\implies 100x = 4.151515\ldots\: --(2)$

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

$\implies 10000x = 415.151515\ldots\: ---(3)$

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

$\implies 9900x = 411$

$\implies x = \frac{411}{9900}$

$\implies x = \frac{ \cancel{3} \times 137}{\cancel {3} \times 3300 }$

$\implies x = \frac{137}{3300} \: \blue{ ( \frac{p}{q} \: form )}$

Therefore.,

$\red{ 0.04151515\ldots } \green { = \frac{137}{3300} }\: \blue{ ( \frac{p}{q} \: form )}$

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