Comprehensive Calculator Guide
A mixed number is a whole number with a fraction, such as 2 3/4. To multiply, divide or use it in an equation, turn it into an improper fraction first: 2 3/4 = 11/4. Enter the whole number, numerator and denominator to get the new numerator, the fraction in lowest terms and its decimal value.
The method
Multiply the whole number by the denominator, add the numerator, and keep the denominator: 2 × 4 + 3 = 11, so 11/4. Each whole is 4/4, so two wholes are 8/4, plus 3/4 makes 11/4.
For a negative mixed number the sign covers the whole thing: −1 1/2 = −3/2. Results are reduced: 3 2/4 = 7/2.
How to Use
- 01Enter the whole number.
- 02Enter the numerator and denominator.
- 03Read the improper fraction and decimal.
Formula Used
New numerator = whole × denominator + numeratorPractical Examples
Example 1
2 3/4 = 11/4 = 2.75.
Example 2
5 1/3 = 16/3.
Example 3
−1 1/2 = −3/2.
Important Tips
- Convert before multiplying or dividing.
Common Mistakes to Avoid
- Multiplying the whole number by the numerator.
Frequently Asked Questions
- How do I convert a mixed number?
- Whole × denominator + numerator, over the same denominator.
- What is 2 3/4 as a fraction?
- 11/4.
- What is an improper fraction?
- One whose numerator is at least its denominator.