3 Fraction Calculator With Answers

Fraction Operations:

\[ \frac{a}{b} \pm \frac{c}{d} \pm \frac{e}{f} = \text{Result} \]

First Fraction Numerator (a):

First Fraction Denominator (b):

Second Fraction Numerator (c):

Second Fraction Denominator (d):

Third Fraction Numerator (e):

Third Fraction Denominator (f):

Operation:

Result:

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1. What is the 3 Fraction Calculator?

The 3 Fraction Calculator performs addition or subtraction operations on three fractions and provides the result in both fractional and decimal form. It automatically simplifies the resulting fraction to its lowest terms.

2. How Does the Calculator Work?

The calculator uses the following mathematical approach:

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

Where:

\( a, c, e \) — Numerators of the three fractions
\( b, d, f \) — Denominators of the three fractions
\( \pm \) — Addition or subtraction operation

Explanation: The calculator finds a common denominator by multiplying all three denominators together, adjusts each numerator accordingly, performs the operation, and then simplifies the result.

3. Importance of Fraction Operations

Details: Understanding fraction operations is fundamental in mathematics and essential for many real-world applications including measurements, ratios, and proportional relationships.

4. Using the Calculator

Tips: Enter all six values (three numerators and three denominators), select the operation (addition or subtraction), and click Calculate. Denominators cannot be zero.

5. Frequently Asked Questions (FAQ)

Q1: What if my denominator is zero?
A: The calculator will not accept zero as a denominator as division by zero is mathematically undefined.

Q2: How does the simplification work?
A: The calculator uses the greatest common divisor (GCD) algorithm to reduce the fraction to its simplest form.

Q3: Can I use negative numbers?
A: Yes, the calculator accepts negative numbers for numerators and denominators.

Q4: What's the precision of the decimal result?
A: The decimal result is rounded to 4 decimal places for readability.

Q5: Can I use this for mixed numbers?
A: First convert mixed numbers to improper fractions before using this calculator.