Mixed Number to Fraction Calculator — Free Online
Easily convert mixed decimals (like 3.75 or 12.5) to mixed numbers and improper fractions with step-by-step simplification.
Mixed Number Result
Whole Number & Fraction
Improper Fraction
Step-by-Step Solution
Visual Representation
How to Convert Mixed Decimals
A mixed decimal contains a whole number part and a decimal part (e.g., 3.75). Converting it involves separating these two parts, converting the decimal part to a fraction, simplifying it, and then putting it all back together.
Steps for Conversion
- Separate the whole number from the decimal part.
- Write the decimal part as a fraction over a power of 10.
- Find the Greatest Common Divisor (GCD) of the numerator and denominator to simplify the fraction.
- Combine the whole number with the simplified fraction to get a mixed number.
- To get an improper fraction, multiply the whole number by the denominator, add the numerator, and place it over the original denominator.
Common Mixed Decimals Table
| Mixed Decimal | Mixed Number / Improper | Improper Fraction |
|---|---|---|
| 1.25 | 1 1/4 | 5/4 |
| 1.5 | 1 1/2 | 3/2 |
| 1.75 | 1 3/4 | 7/4 |
| 2.2 | 2 1/5 | 11/5 |
| 2.375 | 2 3/8 | 19/8 |
| 3.5 | 3 1/2 | 7/2 |
| 4.125 | 4 1/8 | 33/8 |
| 5.75 | 5 3/4 | 23/4 |
Decimal to Fraction
Convert any decimal to a fraction.
Examples
View detailed conversion examples.
Terminating Decimals
Convert non-repeating decimals.
Frequently Asked Questions
Common questions about mixed numbers
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01 What is a mixed number?
A mixed number is a whole number combined with a proper fraction, such as 3 1/2 or 5 3/4. It represents a value greater than 1.
02 How do you convert a mixed decimal to a mixed number?
First, separate the whole number from the decimal part. Convert the decimal part to a fraction and simplify it. Finally, combine the whole number and the simplified fraction.
03 What is an improper fraction?
An improper fraction is a fraction where the numerator is greater than or equal to the denominator, such as 7/2 or 23/4. Mixed numbers can always be converted to improper fractions.
04 How do I convert a mixed number to an improper fraction?
Multiply the whole number by the fraction
05 Can the fractional part be zero?
Yes. If the fractional part is zero (e.g., 3.0), the number is just a whole number (3). The fraction part is considered 0/1.