Question

The value of 2.423—bar is equal to

Answer 1

Answer:

$\frac{2421}{999}$

Step-by-step explanation:

2.423423423.....

=2+0.423423423.....(1)

now, let,

x=0.423423423...

1000x=423.423423423.....

1000x=423+x

1000x-x=423

999x=423

x=423÷999=

$\frac{423}{999}$

now,

2.423423423...=2+0.423423....{from (1)}

=2+x

=2+(423/999)

=(999×2+423)/999

2.423423423...=2421/999

Answer 2

Concept Introduction: All numbers are natural numbers.

Given:

We have been Given:

$2.(423)_{bar}$

To Find:

We have to Find: Find the value of the number.

Solution:

According to the problem, we know that,

$2 + 0.(423)_{bar}$

therefore,

$x = 0.(423)_{bar} \\ 1000x = 423 \\ 1000x - x = 423 \\ x = \frac{423}{999}$

therefore,

$2 + x = 2 + \frac{423}{999} = \frac{2421}{999}$

Final Answer: The value is

$\frac{2421}{999}$

#SPJ2