Fraction to decimal chart
To turn a fraction into a decimal, divide the top number by the bottom number: 3/4 is 3 ÷ 4, or 0.75, which is 75%. This chart lists the common fractions in lowest terms, from halves to sixteenths, with the decimal and percent for each.
Free printable PDF, 4th grade to 6th grade.
One page, black and white, prints the same every time.
What is on the sheet
Halves to fifths
| Fraction | Decimal | Percent |
|---|---|---|
| 1/2 | 0.5 | 50% |
| 1/3 | 0.333… | 33 1/3% |
| 2/3 | 0.666… | 66 2/3% |
| 1/4 | 0.25 | 25% |
| 3/4 | 0.75 | 75% |
| 1/5 | 0.2 | 20% |
| 2/5 | 0.4 | 40% |
| 3/5 | 0.6 | 60% |
| 4/5 | 0.8 | 80% |
Sixths to tenths
| Fraction | Decimal | Percent |
|---|---|---|
| 1/6 | 0.1666… | 16 2/3% |
| 5/6 | 0.8333… | 83 1/3% |
| 1/8 | 0.125 | 12.5% |
| 3/8 | 0.375 | 37.5% |
| 5/8 | 0.625 | 62.5% |
| 7/8 | 0.875 | 87.5% |
| 1/10 | 0.1 | 10% |
| 3/10 | 0.3 | 30% |
| 7/10 | 0.7 | 70% |
| 9/10 | 0.9 | 90% |
Twelfths
| Fraction | Decimal | Percent |
|---|---|---|
| 1/12 | 0.0833… | 8 1/3% |
| 5/12 | 0.4166… | 41 2/3% |
| 7/12 | 0.5833… | 58 1/3% |
| 11/12 | 0.9166… | 91 2/3% |
Sixteenths
| Fraction | Decimal | Percent |
|---|---|---|
| 1/16 | 0.0625 | 6.25% |
| 3/16 | 0.1875 | 18.75% |
| 5/16 | 0.3125 | 31.25% |
| 7/16 | 0.4375 | 43.75% |
| 9/16 | 0.5625 | 56.25% |
| 11/16 | 0.6875 | 68.75% |
| 13/16 | 0.8125 | 81.25% |
| 15/16 | 0.9375 | 93.75% |
Reading the chart
Each fraction is in lowest terms, so 2/4 is not on the chart: it is the same number as 1/2. To find one that is missing, simplify it first. 6/8 becomes 3/4, which is 0.75. The percent is the decimal times 100, so the decimal point moves two places to the right.
Thirds, sixths and twelfths never end. Their decimals repeat forever, and the three dots on the chart mean the last digit goes on repeating: 1/3 is 0.333 and so on. Halves, fourths, fifths, eighths, tenths and sixteenths all end, because their bottom numbers are built only from 2s and 5s.
When it is taught
Fourth grade writes tenths and hundredths as decimals (CCSS 4.NF.C.6). Converting any fraction by dividing comes in 5th and 6th grade, and 6th grade adds percents (6.RP.A.3c). In 7th grade children learn why some decimals repeat (7.NS.A.2d). The eighths and sixteenths are also the ruler fractions, which is why the sixteenths table gets used in a workshop as often as in a classroom.
Common questions
- How do you turn a decimal back into a fraction?
- Find it in the decimal column and read across. For a decimal that is not listed, write it over 10, 100 or 1,000 and simplify: 0.35 is 35/100, which is 7/20.
- Why are there no sevenths or ninths?
- They are rarely used in elementary school, and their decimals are long. 1/7 is 0.142857 repeating. Division gives any of them in a minute.