37.5% as a fraction
Per cent means out of 100: 37.5% is 37.5/100. Clear the decimal to get 375/1,000, then simplify to 3/8.
The answer
37.5% = 3/8
How to write 37.5% as a fraction
Per cent means out of 100, so write the percentage over 100: 37.5% = 37.5/100.
A fraction should have whole numbers on top and bottom, so multiply both by 10: 37.5/100 = 375/1,000.
Simplify by dividing the top and bottom by the same number. In one go, divide by the highest common factor, 125: 375/1,000 = 3/8.
If you cannot spot 125, smaller steps get there too:
- Divide by 5: 75/200
- Divide by 5: 15/40
- Divide by 5: 3/8
3 and 8 share no factor except 1, so 3/8 is the simplest form.
As a decimal, 37.5% = 0.375: divide by 100, which moves each digit two places to the right.
To check, divide back: see 3/8 as a decimal and 3/8 as a percentage.
Using 3/8 to find 37.5% of an amount
Knowing that 37.5% is 3/8 makes finding 37.5% of an amount quick: divide by 8 to find 1/8, then multiply by 3.
37.5% of 40 = 40 ÷ 8 × 3 = 5 × 3 = 15
The bar model below opens on 37.5% of 40 and reaches the same answer another way, by building 37.5% from 25% and 12.5%. Change the numbers to try your own. Its bar is marked in tenths, so 37.5% stops partway through a tenth; the picture of 3/8 further down shows it exactly.
A bar model that finds a percentage of any amount, step by step. 37.5% of 40 is 15.
See 3/8
More percentages as fractions
Questions parents ask
What is 37.5% as a fraction?
37.5% = 37.5/100 = 375/1,000 = 3/8 in its simplest form.
What is 37.5% as a decimal?
37.5% = 0.375. Divide by 100: the digits move two places to the right.
How do you find 37.5% of an amount?
37.5% is 3/8, so divide by 8, then multiply by 3. For 37.5% of 40: 40 ÷ 8 = 5, and 5 × 3 = 15.
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