Question

Convert in the form of p/q 0.4 bar

Answer 1

Heya !!!

Here is your answer.

Given :

0.44444.....

Let x = 0.4444..... (I)
Multiply by 10,
10x = 4.4444.... (II)

Now, Subtract (I) from (II),
10x = 4.4444.....
x = 0.4444.....
-----------------------
9x = 4

x = 4/9

Hope It Helps

Answer 2

Given:

We have given a number which is  $0.\bar4$ .

To Find:

We have to find the Rational form of that number?

Step-by-step explanation:

• We have the number which is $0.\bar4$

• Let the nyumber be

      $x=0.\overline4 =0.44\cdots$

• We have to write the above equation in rational form
• We have here in the number  $0.\bar4$  one digit is repetiting that is 4

       $x=0.\bar4$

• Multiplyboth side of the above equation be 10 we get the result

       $10x=4.\bar4$

• In the addition form of x the above equation can be written as

       $10x=4+0.\bar4\\10x=4+x$

• Now take the like terms one side and silpify the equation we get

       $9x=4\\x=\frac{4}{9}$

Hence the rational number or p by q form is $\frac{4}{9}$.