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Mixed Numbers Calculator
Perform arithmetic operations on mixed numbers, fractions, and integers with automatic simplification and step-by-step solutions.
Understanding Mixed Numbers and Fractions
Mixed numbers combine whole numbers with fractions, making it easier to work with quantities greater than one. This calculator helps you perform all basic arithmetic operations while automatically simplifying results.
How to Use This Calculator
- Enter your first number (mixed number like "2 1/2", fraction like "3/4", or integer like "5")
- Enter your second number in the same format
- Select the operation (addition, subtraction, multiplication, or division)
- Click "Calculate" to see the result in both fraction and mixed number format
Input Examples
- Mixed numbers: 2 1/2, 3 3/4, -1 2/3
- Fractions: 3/4, -5/8, 7/2
- Integers: 5, -3, 0
Features
- Automatic conversion between mixed numbers and improper fractions
- Simplification using greatest common divisor (GCD)
- Step-by-step solution breakdown
- Support for negative numbers
- Clear error messages for invalid inputs
Common Applications
- Cooking: Adjusting recipe quantities
- Construction: Measuring and calculating materials
- Education: Learning fraction arithmetic
- Finance: Working with fractional shares or percentages
Mixed Numbers Calculator FAQs
How to calculate mixed number?
Start by converting the mixed number to an improper fraction so you are working with a single numerator and denominator. Perform the required operation—addition, subtraction, multiplication, or division—and then simplify the fraction. If the result is improper, convert it back to a mixed number by dividing the numerator by the denominator and writing the remainder as the fractional part.
What is 4.37 as a mixed number?
The decimal 4.37 can be written as the mixed number 4 37/100. The fractional part comes from the decimal portion: 0.37 equals 37/100, and it cannot be simplified further because 37 and 100 share no common factors other than 1.
What is 5.47 as a mixed number?
5.47 becomes the mixed number 5 47/100. Convert the decimal 0.47 into the fraction 47/100, then combine it with the whole number 5 for the final answer.
What is 1.75 as a mixed number?
1.75 turns into 1 3/4. The decimal part 0.75 corresponds to 75/100, which simplifies to 3/4 after dividing the numerator and denominator by their greatest common divisor of 25.
What are common mistakes with mixed fractions?
Common pitfalls include skipping the conversion to improper fractions when multiplying or dividing, forgetting to reduce the fractional part to lowest terms, and mismanaging negative signs by attaching them only to the whole number instead of the entire mixed number.