Question

Find the corresponding fraction equivalent of 0.2343434343434343434.......

Answer 1

let x=0.234343434343434343434343434.....
Multiply on both sides by 10 we get=>
10x=2.3434343434343434343434343434..(1)
and Now multiply equation(1) on both sides by 100,
we get => 1000x=234.3434343434343434343434..
(2) So now subtract (1) from (2)=> we get 990x=232
=> x=232/990=116/495. 116/495 is the corresponding fraction of 0.234343434343434.....
Hope it helps you...

Answer 2

From the given question the correct answer is:

the corresponding fraction of 0.234343434343434---- is 116/495.

Given:

0.2343434343434343434----

To find:

the corresponding fraction equivalent of given.

solution:

We will assume that,

Let x=0.234343434343434343434343434----

we will multiply on both sides by 10

we get,

10x=2.3434343434343434343434343434-----(1)

Now, multiply equation(1) on both sides by 100,

we get,

1000x=234.3434343434343434343434--(2)

now, we will  subtract (1) from (2)

1000x=234.3434343434343434343434---

  - 10x=2.3434343434343434343434343434

 990x=232

So we get, 990x=232

x=232/990

=116/495.

Hence, the corresponding fraction of 0.234343434343434  is 116/495.