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Subtracting Simple Fractions Calculator With Variables

Fraction Subtraction Formula:

\[ \frac{x}{y} - \frac{z}{w} = \frac{x \times w - y \times z}{y \times w} \]

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1. What is Fraction Subtraction?

Fraction subtraction involves finding the difference between two fractions. The standard method requires finding a common denominator, then subtracting the numerators while keeping the denominator the same.

2. How Does the Calculator Work?

The calculator uses the fraction subtraction formula:

\[ \frac{x}{y} - \frac{z}{w} = \frac{x \times w - y \times z}{y \times w} \]

Where:

Explanation: The formula finds a common denominator by multiplying the denominators (y × w), then adjusts the numerators accordingly before subtraction.

3. Importance of Fraction Operations

Details: Understanding fraction operations is fundamental in mathematics, essential for algebra, calculus, and real-world applications like measurements, ratios, and proportions.

4. Using the Calculator

Tips: Enter all four values (two numerators and two denominators). Denominators cannot be zero. The calculator will provide both fractional and decimal results, simplified if possible.

5. Frequently Asked Questions (FAQ)

Q1: What if my denominators are the same?
A: The calculation simplifies to (x - z)/y, but the calculator will still give the correct result using the general formula.

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

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

Q4: What about improper fractions?
A: The calculator works with both proper and improper fractions.

Q5: How precise are the results?
A: The fractional result is exact. The decimal result is rounded to 4 decimal places.

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