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Subtract Fraction Calculator

Fraction Subtraction Formula:

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

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1. What is Fraction Subtraction?

Fraction subtraction involves finding a common denominator and then subtracting the numerators. The result is a new fraction that represents the difference between the two original fractions.

2. How Does the Calculator Work?

The calculator uses the fraction subtraction formula:

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

Where:

Explanation: The calculator first finds a common denominator by multiplying the denominators, then adjusts the numerators accordingly before performing the subtraction.

3. Importance of Fraction Subtraction

Details: Fraction subtraction is fundamental in mathematics, used in algebra, calculus, and real-world applications like measurements, ratios, and proportional relationships.

4. Using the Calculator

Tips: Enter numerators and denominators for both fractions. Denominators must be non-zero. The calculator will display the result in both fractional and decimal form, simplified to lowest terms when possible.

5. Frequently Asked Questions (FAQ)

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

Q2: Can I subtract mixed numbers?
A: Convert mixed numbers to improper fractions first before using this calculator.

Q3: What if I get a negative result?
A: A negative result means the second fraction was larger than the first.

Q4: Why does the calculator simplify the result?
A: Simplified fractions are easier to work with and represent the most reduced form of the answer.

Q5: Can I use decimal numbers?
A: Yes, the calculator accepts decimal inputs, but the fractional result will be shown with whole numbers.

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