How can you convert .333 into a fraction?

As given 0.333 is terminating decimal .

As a fraction it is

0.333/1.000

Cancel down the decimal point

Hence 0333/1000

Drop the trivisl prefix zero. , hence 333/1000 ) Fractkion of the terminating decimal).

However, I think you mean ,as a decimal recurring to infinity. In which case it should be written as 0.333.... ( Note the three or more dots after the last number).

To answer

Let

P = 0.333...

Multiply by '10'.

Note the decimal point shifts one place to the right.

10P = 3.333....

Subtract

9P = 3 ( Note the recurring decimals subtract to 'zero')

P = 3/9

Reduce by a factor of '3'.

Hence

P = 3/9 = 1/3 = 0.3333.....