Fraction, decimal and percent converter
Type a fraction, a decimal or a percent to see the other two forms, a hundred grid and the steps to convert by hand.
🧒 Kids: type 3/4, 0.6 or 35% and see it change into the other two forms. Try the example buttons too!
Converter
Fractions can be mixed numbers, like 1 1/2. Percents need the % sign, like 12.5%.
Three ways to write the same amount
Fractions, decimals and percents are three names for the same amount. Three quarters of a pizza is 3/4, 0.75 or 75% of it. Each form is handy in different places: fractions for sharing, decimals for money and measuring, and percents for scores, discounts and statistics.
Children who can switch quickly between the forms find comparing, estimating and word problems much easier. The converter shows the steps, so it teaches the method as well as the answer.
Ready-made table of common fractions, decimals and percents
These are worth learning by heart. Click any fraction to open it in the converter.
| Fraction | Decimal | Percent |
|---|---|---|
| 1/2 | 0.5 | 50% |
| 1/4 | 0.25 | 25% |
| 3/4 | 0.75 | 75% |
| 1/5 | 0.2 | 20% |
| 2/5 | 0.4 | 40% |
| 1/10 | 0.1 | 10% |
| 1/8 | 0.125 | 12.5% |
| 3/8 | 0.375 | 37.5% |
| 1/3 | 0.333… | 33.3% |
| 2/3 | 0.666… | 66.7% |
| 1/20 | 0.05 | 5% |
| 1/100 | 0.01 | 1% |
How to convert by hand
Fraction to decimal and percent
If the denominator goes into 100, scale the fraction up: 7/20 = 35/100 = 0.35 = 35%. If it doesn’t, divide the top by the bottom: 3/8 = 3 ÷ 8 = 0.375, then multiply by 100 to get 37.5%.
Decimal to percent and fraction
Multiply by 100 for the percent: 0.6 = 60%. For the fraction, write the digits over 10, 100 or 1,000 and simplify: 0.6 = 6/10 = 3/5.
Percent to decimal and fraction
Divide by 100 for the decimal: 35% = 0.35. For the fraction, write it over 100 and simplify: 35/100 = 7/20. See percent to decimal and decimals to fractions.
Why a hundred grid helps
A hundred grid shows all three forms at once. Shade 35 of the 100 squares and you see 35/100, 0.35 and 35% in one picture. For tricky fractions like 1/8, the grid shows 12 and a half squares, which explains why 1/8 is 12.5%.
Common conversion mistakes
- 7% written as 0.7. 7% is 7 hundredths: 0.07.
- 0.5 written as 5%. Multiply by 100: 0.5 = 50%.
- 3/8 written as 3.8% or 38%. Divide 3 by 8 first: 0.375 = 37.5%.
- Forgetting to simplify: 45/100 is right, but 9/20 is the simplest form.
Converting by grade
Grade 4 links fractions with 10 and 100 to decimals (4.NF.C.6). Grade 6 brings in percents as a rate per 100 (6.RP.A.3c). Grade 7 converts any rational number to a decimal with long division (7.NS.A.2d). In India, the same ideas appear in classes 6 to 8.
For teachers
Project the converter and play “three in a row”: call out one form, and the class writes the other two before you reveal them. Share a link with a value filled in by adding ?v=3/8 or ?v=35% to the address.
More percentage help
- Percent practice: 10 questions on any of 11 skills, marked as you go.
- Percent calculator with steps: percent of a number, what percent, the whole and percent change.
- Fraction, decimal and percent converter with a hundred grid.
- Lessons: percent of a number · finding the percent · percent change · percent to decimal
- Worksheets: percent of a number · finding the percent · percent change · percent to decimal · make a percent test
Back to percentages for kids · decimals · fractions · 6th grade math · 7th grade math
Last reviewed
Questions parents ask
How do you convert a fraction to a percent?
Make the denominator 100 if you can: 3/4 = 75/100 = 75%. Otherwise divide the top by the bottom and multiply by 100: 3/8 = 0.375 = 37.5%.
How do you convert a decimal to a percent?
Multiply by 100, which moves the point two places to the right: 0.375 = 37.5%.
How do you convert a percent to a fraction?
Write the percent over 100 and simplify: 45% = 45/100 = 9/20.
How do you convert a percent to a decimal?
Divide by 100, which moves the point two places to the left: 35% = 0.35 and 7% = 0.07.
Can a percent be more than 100?
Yes. 150% means one and a half times the whole: 150% = 1.5 = 1 1/2.
Why do some fractions give decimals that never end?
Fractions like 1/3 have a denominator that doesn’t go into 10, 100 or 1,000. Their decimals repeat for ever: 1/3 = 0.333…, which is about 33.3%.