Decimal to Fraction
Convert decimals to proper, improper, and mixed fractions.
📐 How to Convert Decimal to Fraction
To convert a decimal to a fraction manually, follow these mathematical steps:
Step 1: Write the decimal as a fraction over 1.
0.75 / 1
Step 2: Multiply the top and bottom by 10 for every number after the decimal point.
(0.75 x 100) / (1 x 100) = 75 / 100
Step 3: Find the GCD (Greatest Common Divisor) and simplify.
75 ÷ 25 = 3
100 ÷ 25 = 4
Result: 3/4
📊 Common Decimal Conversions
| Decimal | Fraction | Mixed Number |
|---|---|---|
| 0.25 | 1/4 | - |
| 0.5 | 1/2 | - |
| 0.75 | 3/4 | - |
| 1.25 | 5/4 | 1 1/4 |
| 1.5 | 3/2 | 1 1/2 |
| 2.5 | 5/2 | 2 1/2 |
| 0.125 | 1/8 | - |
| 0.333... | 1/3 | - |
❓ Frequently Asked Questions
1. What is a mixed number?
A mixed number is a combination of a whole number and a proper fraction (e.g., 2 1/2). It represents a value greater than 1 in a more readable format than an improper fraction.
2. What is an improper fraction?
An improper fraction is a fraction where the numerator (top number) is greater than or equal to the denominator (bottom number), such as 5/2. This is often converted to a mixed number.
3. How do I handle repeating decimals?
Repeating decimals (like 0.333...) represent rational numbers. While they never end, they are mathematically equal to specific fractions (e.g., 0.333... equals 1/3).
4. Can I convert negative decimals?
Yes. If you enter a negative decimal (like -0.5), the result will simply be the negative version of the fraction (-1/2). The steps for calculation remain the same.
5. Why convert decimals to fractions?
Fractions are often more precise in science and algebra. For example, 1/3 is an exact value, whereas 0.33 is an approximation that loses accuracy if used in further calculations.
6. How do I convert a fraction back to a decimal?
To reverse the conversion, simply divide the numerator by the denominator using a calculator. For example, for 3/4, type 3 ÷ 4 to get 0.75.
7. What is the GCD (Greatest Common Divisor)?
The GCD is the largest number that can evenly divide both the numerator and the denominator. To simplify a fraction to its lowest terms, you must divide both parts by the GCD.