Question

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

Answer 1

Concept : 2 Marks
Calculation : 2 Marks

$Letx=15.7\overline{12}$

$1000x=15712.\overline{12}$

$10x=157.\overline{12}$

$Hence,990x=15555$

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

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