Question

Express 0.324........ Into P/Q form

Answer 1

Answer:

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 given number in $\frac{p}{q}$ form is written as $\frac{36}{111}$

Step-by-step explanation:

Rational number are number expressed in $\frac{p}{q}$ form where $p,q$ are integers and $q\neq 0$.

Given number is $x=0.324.......$    (1)

Multiplying both sides by $1000$

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

Subtracting both equations

$999x=324$

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

So, the given number in $\frac{p}{q}$ form is $\frac{36}{111}$

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