Fraction Calculator With 3 Numbers Add

Sum of Three Fractions:

\[ Sum = \frac{a}{b} + \frac{c}{d} + \frac{e}{f} \]

First Fraction (a/b):

Second Fraction (c/d):

Third Fraction (e/f):

Sum Result:

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1. What is Fraction Addition?

Fraction addition involves combining two or more fractions to produce a single fraction. When adding fractions with different denominators, we first find a common denominator before adding the numerators.

2. How Does the Calculator Work?

The calculator uses the following formula to add three fractions:

\[ Sum = \frac{a}{b} + \frac{c}{d} + \frac{e}{f} = \frac{a \times d \times f + c \times b \times f + e \times b \times d}{b \times d \times f} \]

Where:

\( \frac{a}{b} \) — First fraction
\( \frac{c}{d} \) — Second fraction
\( \frac{e}{f} \) — Third fraction

Explanation: The calculator finds a common denominator by multiplying all three denominators together, then adjusts each numerator accordingly before summing them up.

3. Importance of Fraction Addition

Details: Adding fractions is fundamental in mathematics and has applications in cooking, construction, science, and engineering where partial quantities need to be combined.

4. Using the Calculator

Tips: Enter numerators and denominators for all three fractions. Denominators cannot be zero. The calculator will return the sum in simplified fraction form and as a decimal.

5. Frequently Asked Questions (FAQ)

Q1: What if my denominators are the same?
A: The calculation becomes simpler as the common denominator is already known. Just add the numerators and keep the denominator.

Q2: How does the calculator simplify fractions?
A: It uses the greatest common divisor (GCD) algorithm to reduce the fraction to its simplest form.

Q3: Can I enter negative fractions?
A: Yes, the calculator handles negative values in numerators or denominators.

Q4: What if my result is an improper fraction?
A: The calculator displays improper fractions as-is. You may convert to mixed numbers if desired.

Q5: Why do I get a decimal result?
A: The decimal is provided for easier interpretation, but the exact fraction result is always shown first.