Question

Express 0.33bar as rational number in the form of p/q where p and q are integers and pnot equal to 0

Answer 1

Step-by-step explanation:

$0.\bar{3}$

$x = 0.333.......\boxed{eq \: no \: 1}$

$10x = 10 \times 0.333....$

$10x = 3.333.....\boxed{eq \: no \: 2}$

$1 \: and \: 2 = = = > implies$

10x = 3.333......

x = 0.333.....

___________

9x = 3

___________

$x = \frac{3}{9}$

$x = \frac{1}{3}$

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