Comprehensive Calculator Guide
To turn a fraction into a decimal, divide the top by the bottom; multiply by 100 for a percentage. 3/8 is 0.375, or 37.5%, and 2/3 is about 0.6667, or 66.67%. Enter the numerator and denominator to get the decimal, the percentage and the fraction in lowest terms.
Terminating and repeating decimals
If the reduced denominator has no prime factors other than 2 and 5, the decimal ends: 3/8 = 0.375. Otherwise it repeats forever: 2/3 = 0.666…, 1/7 = 0.142857…; the calculator rounds these, and the fraction stays the exact value.
Worth knowing: 1/2 = 50%, 1/4 = 25%, 3/4 = 75%, 1/5 = 20%, 1/8 = 12.5%. A top-heavy fraction gives more than 100%: 5/4 = 125%.
How to Use
- 01Enter the numerator.
- 02Enter the denominator.
- 03Read the decimal, percentage and lowest terms.
Formula Used
Decimal = numerator ÷ denominator | Percent = decimal × 100Practical Examples
Example 1
3/8 = 0.375 = 37.5%.
Example 2
2/3 ≈ 0.6667 = 66.67%.
Example 3
5/4 = 1.25 = 125%.
Important Tips
- Simplify first to see whether the decimal will end.
Common Mistakes to Avoid
- Dividing the denominator by the numerator.
Frequently Asked Questions
- How do I convert a fraction to a decimal?
- Divide the numerator by the denominator.
- And to a percentage?
- Multiply the decimal by 100.
- Why do some decimals never end?
- Their denominator has a factor other than 2 or 5.