Question

Express 1.10125(bar on 25) in the form of p/q

Answer 1

$let \: x = 1.101252525....$

$1000x = 1101.252525.... \: \: \: \: \: \: \: \: ...(i)$

$100000x = 110125.252525.... \: \: \: \: (ii)$

$on \: subtracting \: (i) \: from \: (ii)$

$100000x = 110125.252525... \\ \: \: \: 1000x = \: \: \: 1101.252525...$

$99000x = 109024$

$x = \frac{109024}{99000}$

$x = \frac{54512}{49500}$

$x = \frac{27256}{24750}$

$x = \frac{13628}{12375}$

$\frac{p}{q}$

form is

$x = \frac{13628}{12375}$

Answer 2

Step-by-step explanation:

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