Mixed Fraction Calculator With 3 Fractions

Mixed Fraction Addition:

\[ \left(a \frac{b}{c}\right) + \frac{d}{e} + \frac{f}{g} = \frac{(a \times c + b) \times e \times g + d \times c \times g + f \times c \times e}{c \times e \times g} \]

Whole Number:

Numerator 1:

Denominator 1:

Numerator 2:

Denominator 2:

Numerator 3:

Denominator 3:

Result:

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1. What is Mixed Fraction Addition?

This calculator adds a mixed fraction with two additional proper fractions. A mixed fraction combines a whole number with a proper fraction (where numerator is less than denominator).

2. How Does the Calculator Work?

The calculator uses the following steps:

\[ \text{1. Convert mixed to improper: } a \frac{b}{c} = \frac{a \times c + b}{c} \] \[ \text{2. Find common denominator: } c \times e \times g \] \[ \text{3. Convert all fractions to common denominator} \] \[ \text{4. Add numerators while keeping denominator} \] \[ \text{5. Simplify resulting fraction} \]

3. Importance of Fraction Calculation

Details: Understanding fraction operations is fundamental in mathematics, especially in measurements, ratios, and real-world applications like cooking or construction.

4. Using the Calculator

Tips: Enter whole numbers for the mixed fraction and numerators/denominators for all fractions. Denominators cannot be zero.

5. Frequently Asked Questions (FAQ)

Q1: What if my result is an improper fraction?
A: The calculator will display it as an improper fraction (e.g., 5/4) or convert it to a mixed number if it simplifies that way (e.g., 1 1/4).

Q2: Can I enter negative numbers?
A: No, this calculator only works with positive numbers (zero or greater).

Q3: What's the maximum denominator allowed?
A: There's no strict limit, but very large numbers may cause calculation delays.

Q4: Why does the calculator simplify the result?
A: Simplified fractions are easier to understand and work with in subsequent calculations.

Q5: Can I add more than three fractions?
A: This calculator is specifically designed for one mixed fraction plus two proper fractions.