Question

the value of 2.423 bar over 423 is equal to​

Answer 1

Answer:

2.423bar = 2 whole 423/999 = 2421/999

Answer 2

The value of 2.423 with bar over 423 is  $\frac{269}{111}$ .

Step-by-step explanation:

Let the decimal number that is 2.423 with a bar on it be x. Now, the decimal number 2.423 with a bar on it is nothing but the recurring decimal number 2.423423423...

Now, if x = 2.423... ...(1)

Then, multiplying 1000 on both sides of the equation, we get,

1000*x= 1000*(2.423...)

Or, 1000x = 2423.423... ...(2)

Now, subtracting the equation 1 from equation 2, we get,

1000x - x = 2423.423... - 2.423

Or, 999x = 2421.000

Or, x = $\frac{2421}{999}$

Or, x = $\frac{807}{333}$

Or, x = $\frac{269}{111}$

Thus, the value of 2.423 with bar over 423 is  $\frac{269}{111}$ .

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