0.33 as a fraction
0.33 is 33 hundredths, so write it as 33/100.
The answer
0.33 = 33/100
How to write 0.33 as a fraction
Put the digits in a place value chart. The place of the last digit tells you the bottom of the fraction.
| Ones | Tenths | Hundredths |
|---|---|---|
| 0 | 3 | 3 |
The last digit is in the hundredths column, so 0.33 is 33 hundredths: 33/100.
33 and 100 share no factor except 1, so 33/100 is already in its simplest form.
As a percentage, 0.33 = 33%: multiply by 100, which moves each digit two places to the left.
See 33/100
Is 0.33 the same as 1/3?
No, though it is close. 1/3 = 0.3, where the 3 repeats for ever, which never stops, and as a percentage it is 33 1/3%. 0.33 stops, so it is a little less than 1/3.
1/3 rounds to 0.33 at 2 decimal places. If a question says 1/3, work with 1/3 itself, not 0.33: 1/3 of 300 is exactly 100, but 0.33 of 300 is 99.
More decimals as fractions
Questions parents ask
What is 0.33 as a fraction in its simplest form?
0.33 = 33/100. 33 and 100 share no factor except 1, so 33/100 is already in its simplest form.
How do you write 0.33 as a fraction?
The last digit of 0.33 is in the hundredths column, so write the digits over 100: 33/100. Then simplify if you can.
What is 0.33 as a percentage?
0.33 = 33%. Multiply by 100: the digits move two places to the left.
Is 0.33 the same as 1/3?
No. 1/3 = 0.333..., which goes on for ever. 0.33 stops, so it is a tiny bit less than 1/3. 1/3 rounds to 0.33 at 2 decimal places, which is why people mix them up.
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