33% as a fraction
Per cent means out of 100: 33% is 33/100, already in its simplest form.
The answer
33% = 33/100
How to write 33% as a fraction
Per cent means out of 100, so write the percentage over 100: 33% = 33/100.
33 and 100 share no factor except 1, so 33/100 is already in its simplest form.
As a decimal, 33% = 0.33: divide by 100, which moves each digit two places to the right.
Using 33/100 to find 33% of an amount
Knowing that 33% is 33/100 makes finding 33% of an amount quick: divide by 100 to find 1/100, then multiply by 33.
33% of 200 = 200 ÷ 100 × 33 = 2 × 33 = 66
The bar model below opens on 33% of 200 and reaches the same answer another way, by building 33% from 30% and 3%. Change the numbers to try your own. Its bar is marked in tenths, so 33% stops partway through a tenth; the picture of 33/100 further down shows it exactly.
A bar model that finds a percentage of any amount, step by step. 33% of 200 is 66.
See 33/100
Is 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%. 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 33%: 1/3 of 300 is exactly 100, but 33% of 300 is 99.
More percentages as fractions
Questions parents ask
What is 33% as a fraction?
33% = 33/100. 33 and 100 share no factor except 1, so it cannot be simplified.
What is 33% as a decimal?
33% = 0.33. Divide by 100: the digits move two places to the right.
How do you find 33% of an amount?
33% is 33/100, so divide by 100, then multiply by 33. For 33% of 200: 200 ÷ 100 = 2, and 2 × 33 = 66.
Is 33% the same as 1/3?
No. 1/3 is 33 1/3%, a third of a per cent more than 33%. People often round a third to 33%, but 33% is exactly 33/100.
Fractions, decimals and percentages run all through 11+ maths
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