How can you convert .333 into a fraction?

Answer 1

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.....

Answer 2

First, look what the final place of the number is (in this case the last number is in the thousandths). So, your denomanator is 1,000. The numerator now is just the number without any decimals. So, the fraction is 333 over 1,000 (333/1,000)