Fractions Calculator With Mixed Numbers

Mixed Number Operations:

\[ (a\frac{b}{c}) \text{ op } (d\frac{e}{f}) = \text{result} \]

First Number (Whole):

Numerator:

Denominator:

Operation:

Second Number (Whole):

Numerator:

Denominator:

Calculation Result:

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1. What is a Mixed Number?

A mixed number combines a whole number and a proper fraction (where the numerator is less than the denominator). For example, 2¾ is a mixed number representing 2 + 3/4.

2. How the Calculator Works

The calculator converts mixed numbers to improper fractions, performs the selected operation, then simplifies the result back to a mixed number if needed.

\[ \text{Mixed to Improper: } a\frac{b}{c} = \frac{(a \times c) + b}{c} \]

3. Operations with Mixed Numbers

Addition/Subtraction: Find common denominator, convert, then add/subtract numerators.
Multiplication: Multiply numerators and denominators directly.
Division: Multiply by the reciprocal of the second fraction.

4. Using the Calculator

Steps: Enter whole number, numerator and denominator for both numbers, select operation, then click Calculate. Denominator cannot be zero.

5. Frequently Asked Questions (FAQ)

Q1: What if my result is an improper fraction?
A: The calculator will show it as a mixed number (e.g., 5/2 becomes 2½).

Q2: Can I use negative numbers?
A: This calculator only accepts positive numbers for all inputs.

Q3: What if I get a zero denominator?
A: The calculator prevents division by zero. Denominator must be ≥1.

Q4: How are results simplified?
A: Results are reduced by dividing numerator and denominator by their greatest common divisor.

Q5: Can I use this for complex fractions?
A: This calculator handles simple mixed numbers. Complex fractions may need specialized tools.