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Adding And Subtracting Fractions Calculator

Fraction Addition/Subtraction Formula:

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

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1. What is Fraction Addition/Subtraction?

Fraction addition and subtraction are fundamental arithmetic operations that combine two fractions into a single fraction. The operation follows specific rules to ensure proper combination of the numerators and denominators.

2. How Does the Calculator Work?

The calculator uses the fraction formula:

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

Where:

Explanation: The calculator finds a common denominator by multiplying the denominators, then combines the numerators accordingly.

3. Importance of Fractions Calculation

Details: Understanding fraction operations is essential for mathematics, science, engineering, and everyday measurements. It forms the basis for more advanced mathematical concepts.

4. Using the Calculator

Tips: Enter all four values (two numerators and two denominators), select the operation (addition or subtraction), and click calculate. The result will show in both fractional and decimal form.

5. Frequently Asked Questions (FAQ)

Q1: What if my denominators are the same?
A: The calculation simplifies to just adding/subtracting the numerators while keeping the same denominator.

Q2: Can I use negative numbers?
A: Yes, the calculator handles negative numerators and denominators.

Q3: Why does the result sometimes simplify?
A: The calculator automatically reduces fractions to their simplest form by dividing numerator and denominator by their greatest common divisor.

Q4: What if I get a zero denominator?
A: The calculator prevents division by zero by requiring denominators to be at least 1.

Q5: How precise are the decimal results?
A: Decimal results are rounded to 4 decimal places for readability.

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