Turn a fraction or mixed number into an exact decimal, a rounded decimal and a percentage.
Use whole numbers for the numerator and denominator. Recurring digits are shown in brackets, so 0.(3) means 0.3333 repeating for ever.
Need to know what 3/8 or 2 2/3 is as a decimal? This fraction to decimal calculator converts any fraction or mixed number into its exact decimal, a rounded figure and a percentage in one step. It also spots recurring decimals such as 1/3 and 1/7 and shows which digits repeat, so you get a precise answer rather than a long string of rounded numbers.
Quick answer: To convert a fraction to decimal form, divide the numerator by the denominator, so 3/8 is 3 ÷ 8 = 0.375, or 37.5% as a percentage. Once simplified, a fraction gives a decimal that ends only when its denominator has no prime factors other than 2 and 5, which is why 1/3 recurs.
In This Guide
What Is a Fraction as a Decimal?
A fraction is simply a division. The line between the numerator (top number) and the denominator (bottom number) means "divided by", so the formula is decimal = numerator ÷ denominator. For 3/8, 3 ÷ 8 = 0.375. To get a percentage, multiply the decimal by 100, giving 37.5%.
Some fractions end neatly and some repeat for ever. Once a fraction is in its simplest form, the decimal ends only when the denominator has no prime factors other than 2 and 5. That is why 1/8 = 0.125 ends, while 1/3 = 0.333 recurring and 1/6 = 0.1666 recurring never do. For mixed numbers, multiply the whole number by the denominator and add the numerator first.
How Do You Use the Fraction to Decimal Calculator?
Step 1: Enter a Whole Number if Needed
For a mixed number such as 2 3/4, you type 2 in the whole number box, and for an ordinary fraction you leave it at 0. For a mixed number such as 2 3/4, type 2 in the whole number box. For an ordinary fraction, leave it at 0.
Step 2: Enter the Fraction
Type the numerator and the denominator as whole numbers. Improper fractions such as 11/4 work too. If your fraction compares two quantities, the ratio calculator shows the same relationship as a simplified ratio, which is often easier to read at a glance.
Step 3: Choose the Rounding
Pick how many decimal places you want in the rounded answer. Two places suit money and most everyday use, while engineering and science often need four or more.
Step 4: Read the Results
The exact decimal appears in large type, with the rounded value, the percentage, the fraction in its simplest form and any recurring digits below. If you are converting a recipe, the cups to grams converter accepts the decimal directly, so ⅔ of a cup becomes 0.67 and then a weight in grams.
What Are Common Fractions as Decimals?
| Fraction | Decimal | Percentage |
|---|---|---|
| 1/2 | 0.5 | 50% |
| 1/3 | 0.333 recurring | 33.33% |
| 2/3 | 0.666 recurring | 66.67% |
| 1/4 | 0.25 | 25% |
| 3/4 | 0.75 | 75% |
| 1/5 | 0.2 | 20% |
| 1/8 | 0.125 | 12.5% |
| 3/8 | 0.375 | 37.5% |
| 5/8 | 0.625 | 62.5% |
| 1/16 | 0.0625 | 6.25% |
Common fractions convert as 1/2 = 0.5, 1/4 = 0.25, 3/4 = 0.75 and 1/8 = 0.125, while 1/3 is 0.333 recurring and 2/3 is 0.666 recurring. Recurring decimals can be written with a dot or a bar over the repeating digits, or with the repeating block in brackets, as this tool does. Because our base 10 number system is built on 2 × 5, only fractions whose denominators break down into 2s and 5s can be written exactly with a finite number of digits.
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How we checked this tool: the Tools Veria Editorial Team built this tool by hand, checked it against the official rules or published standards where they apply, and tested it against worked examples. Results are estimates for planning, not personal financial or tax advice. Read our editorial policy and disclaimer, or report an error.
Frequently Asked Questions
How do you convert a fraction to a decimal?
Divide the numerator by the denominator. For example, 3/4 is 3 ÷ 4 = 0.75.
What is 1/3 as a decimal?
1/3 is 0.3333 recurring, often written as 0.3 with a dot over the 3. Rounded to two decimal places it is 0.33.
How do you convert a mixed number to a decimal?
Convert the fraction part to a decimal and add the whole number. For 2 3/4, 3 ÷ 4 = 0.75, so the answer is 2.75.
Why do some fractions give recurring decimals?
A simplified fraction gives a recurring decimal when its denominator has a prime factor other than 2 or 5, such as 3, 7 or 11.
How do you turn a fraction into a percentage?
Divide the numerator by the denominator and multiply by 100. For 3/8, 0.375 × 100 = 37.5%.
What is 5/8 as a decimal?
5/8 is 0.625 exactly, which is 62.5%.