Represent 15.712121212…in a rational form. [4 MARKS]

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Solution

Concept : 2 Marks
Calculation : 2 Marks

$L e t x = 15.7 ¯ ¯¯¯¯ ¯ 12$

$1000 x = 15712. ¯ ¯¯¯¯ ¯ 12$

$10 x = 157. ¯ ¯¯¯¯ ¯ 12$

$H e n c e, 990 x = 15555$

$x = \frac{15555}{990}$

$x = \frac{1037}{66}$

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