Question

Express 0.324 on 324 bar in rational numbers form

Answer 1

Heya !!

Here's your answer..
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x = 0.324 ( bar on 324 ). ---(1)

1000x = 324.324324.... ---(2)

Subtract eq.(1) from eq.(2)

1000x = 324.324324.
- x = - 0.324324...
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999x = 324.000000

x = 324/999

x = 108/333

x = 36/111
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Hope it helps..
Thanks :)

Answer 2

Answer:

The answer is $x =\frac{36}{111}$

Step-by-step explanation:

Given the number $0.\bar{324}$

we have to express the given number in rational number.

Let $x = 0.\bar{324}$

i.e x=0.324324324... →   (1)

1000x = 324.324324....    →   (2)

Subtract eq.(1) from eq.(2)

$1000x- x = 324$

$999x = 324$

$x = \frac{324}{999}$

$x =\frac{36}{111}$