Aptitude - Decimal Fraction - Discussion

I didn't understand the concept behind 0.1250 =125/1000.

Anyone, please explain

How the simplification is done?

I'm not able to understand. Please explain this in detail.

Hey everyone.

Someone is confused about how we get to the place of.

(0.1667), (0.8333), (0.2222), (0.6667), (0.1250) we get 1/6, 5, 6, 2/3, 125/100.

Let me explain;

Here; They ask approx value so we consider 0. 1667 as 0. 1666 and by converting it into a fraction we get 1/6.

Calculation part;

0.1666 as 0. 16 where 6 has a bar on it.
0.16. = 16/90 = 1/6.

Similarly, 0. 8333 consider 0. 83 and 3 has a bar on it.

Calculation part ;

0.83. = 83 - 8 /90 = 75/90 = 5/6.

Similarly, consider 0. 6667 as 0. 6666 solving it we get 2/3.

Calculation part;

0.6. = 6/9 = 2/3.

Hear 0.1250 as 0.124 solving it we get 125/100.

How 1/6, 2/3, 5/6 come? Please explain.

it's basically a bar concept. That is 0.22222 can be written as 0.2 and infraction it can be written as 2/9.

The formula is (number without decimal - non-repeating numbers)/put 9's the number of repeating numbers and 0's the number of non-repeating numbers.

Suppose, 0.35232323 it can be written as (3523 - 35)/(9900).
Put that in that problem and you are good to go.

How it becomes 3333/2222 to 3/2? Pleas tell me.

Hi all, from my understanding, the conversion to a fraction is actually used for non-terminating recurring decimals, however, that is not the case here, all are terminating decimals, we can convert them only like, 0.67 = 67/100.

For getting 0.16667 as 1/6, we can do:

0.1667*10 = 1.6667.

Now, 1.6667 is equal to 1+ 0.6667, we know how to convert 0.6667 to a fraction.
0.6667 = 6/9 => 2/3.

Therefore, we have 1+ 0.667 => 1+(2/3)=> 5/3,

But remember we multiplied by 10 in the beginning, so we divide by 10 to nullify the change.
Therefore (5/3)/10 => 1/6.

Thanks @Satish.

I am not getting the solution of this. Please, anyone explain me clearly.