Fraction to Decimal Calculator
Convert any fraction or mixed number to a decimal and a percent, and see repeating decimals marked with a bar. Example: 7/8 is 0.875, and 1/3 is 0.333 repeating.
Type the problems from this lesson and check each step.
Show steps
How to use the Fraction to Decimal Calculator
- Enter the numerator and denominator.
- If you have a mixed number, enter the whole part too.
- Press Calculate to get the decimal, percent and simplified fraction.
Formula and method
Decimal = numerator / denominator. For a mixed number, add the whole part. A decimal repeats when the reduced denominator has prime factors other than 2 and 5.
Worked example: 7/8
| Step | Work |
|---|---|
| Divide | 7 / 8 = 0.875 |
| Percent | 87.5% |
| Type | Terminating |
Common fractions as decimals
| Fraction | Decimal | Percent |
|---|---|---|
| 1/2 | 0.5 | 50% |
| 1/3 | 0.333… | 33.33% |
| 1/4 | 0.25 | 25% |
| 1/5 | 0.2 | 20% |
| 1/6 | 0.1666… | 16.67% |
| 1/8 | 0.125 | 12.5% |
| 1/10 | 0.1 | 10% |
| 2/3 | 0.666… | 66.67% |
| 3/4 | 0.75 | 75% |
Repeating decimals
1/3, 1/6, 1/7 and 1/9 do not end. Their digits repeat in a cycle, shown with a bar over the repeating block. 1/7 repeats every 6 digits.
Frequently asked questions
How do I convert a fraction to a decimal?
Divide the numerator by the denominator. 7 divided by 8 is 0.875.
How do I convert a mixed number?
Convert the fraction part and add the whole number, or turn it into an improper fraction first.
What is a repeating decimal?
A decimal whose digits repeat forever, like 0.333… for 1/3.
Which fractions terminate?
Those whose reduced denominator has only 2 and 5 as prime factors.
How do I turn a fraction into a percent?
Multiply the decimal by 100. 3/4 is 0.75, or 75%.
What is 1/7 as a decimal?
0.142857 repeating.
Sources
Related calculators
Related to This Article
More math articles
- Modern Political Campaigns: Candidates, Parties and Strategy
- 5th Grade Math Worksheets for Wisconsin (Forward): 49 Free Printable PDFs
- 3rd Grade OSTP Math Worksheets: FREE & Printable
- 3rd Grade Math Skills Every Student Should Master
- The Best Grade 6 ELA Practice Tests for Colorado Students
- Rounding Decimals for 5th Grade: Nearest Tenth and Hundredth
- Tips for Making Math Study Sessions More Productive
- The Best Grade 3 ELA Practice Tests for Ohio Students
- Free Grade 3 English Worksheets for Pennsylvania Students
- Tracking polls
What people say about "Fraction to Decimal Calculator: Repeating Decimals & Percent"?
No one replied yet.