3 Fraction Calculator

3 Fraction Operation:

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

First Fraction Numerator (a):

First Fraction Denominator (b):

First Operation:

Second Fraction Numerator (c):

Second Fraction Denominator (d):

Second Operation:

Third Fraction Numerator (e):

Third Fraction Denominator (f):

Result (Fraction):

Result (Decimal):

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1. What is the 3 Fraction Calculator?

The 3 Fraction Calculator performs addition and subtraction operations on three fractions. It calculates the result by finding a common denominator and then performing the specified operations on the numerators.

2. How Does the Calculator Work?

The calculator uses the following approach:

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

Where:

\( \frac{a}{b} \) — First fraction
\( \frac{c}{d} \) — Second fraction
\( \frac{e}{f} \) — Third fraction
\( \pm \) — Addition or subtraction operation

Explanation: The calculator first finds the Least Common Denominator (LCD) of all three fractions, converts each fraction to have this denominator, then performs the specified operations on the numerators.

3. Understanding Fraction Operations

Details: When adding or subtracting fractions, they must have the same denominator. The LCD is the smallest number that all denominators divide into evenly. After converting to the LCD, the numerators are added or subtracted while keeping the denominator the same.

4. Using the Calculator

Tips: Enter numerators and denominators for all three fractions. Select the operation (+ or -) between each fraction. Denominators must be positive integers. The result is shown in both simplified fraction and decimal form.

5. Frequently Asked Questions (FAQ)

Q1: What if my denominators are the same?
A: The calculator will still work correctly, though the LCD will simply be that common denominator.

Q2: How are negative fractions handled?
A: Negative values can be entered in the numerator. The calculator properly handles negative fractions in operations.

Q3: What if the result can be simplified?
A: The calculator automatically simplifies the fractional result to its lowest terms.

Q4: Why do I get a different decimal than my manual calculation?
A: The decimal is rounded to 4 decimal places. For exact results, use the fractional output.

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