What is the fraction for .33333333?

Answer 1

iI presume you mean 0.3333.... recurring to infinity. In which case it is written as 0.333... The suffix dots indicate that it goes to infinity

Otherwise it is a terminating decimal .

However, here is the method to convert rational infinite decimals to a fraction.

Let

P = 0.3333....

Then

10P - 3.333....

Subtract

9P = 3. 0 (Note the infinite decimals subtract to zero.

9P= 3

P = 3/9

Cancel down by '3'

P = 1/3 The answer . ..

NB THis can only be done for RATIONAL Decimals.

IRRATIONAL decimals do NOT convert to a RATIO.

pi = 3.1415923.... is the most well known irrational decimal and does NOT convert to a RATIO(fraction).

When given 22/7 , or 3.14 etc., for 'pi'; these values are only approximations.

Square Roots of prime numbers also produce Irrational Numbers.

NNB For rational infinite decimals of the order 0.252525...

You do by the same method;

P = 0.252525... & 100P = 25.252525... Notice it is now '100P.

Subtract 99P = 25

Similarly P = 234234234... Then 1000P =234.2342342344....

Subtract = 999P = 234.

et/.seq.,

Hope that helps!!!!

Answer 2

1/3