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Subtracting Fractions Worksheet

Subtracting Fractions Formula:

\[ \frac{a}{b} - \frac{c}{d} = \frac{ad - bc}{bd} \]

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1. What is Fraction Subtraction?

Fraction subtraction involves finding the difference between two fractions. To subtract fractions, they must have a common denominator. The calculator handles this automatically by finding the least common denominator.

2. How Does the Calculator Work?

The calculator uses the standard fraction subtraction formula:

\[ \frac{a}{b} - \frac{c}{d} = \frac{ad - bc}{bd} \]

Where:

Explanation: The calculator first finds a common denominator by multiplying the denominators, then subtracts the numerators, and finally simplifies the result if possible.

3. Importance of Fraction Subtraction

Details: Understanding fraction subtraction is fundamental in mathematics, especially in algebra, measurements, and real-world applications like cooking, construction, and financial calculations.

4. Using the Calculator

Tips: Enter numerators and denominators for both fractions. Denominators must be positive integers. The calculator will show the result in both unsimplified and simplified forms when possible.

5. Frequently Asked Questions (FAQ)

Q1: What if my denominators are the same?
A: The calculator still works correctly. When denominators are equal, the result denominator stays the same and only numerators are subtracted.

Q2: Can I subtract mixed numbers with this calculator?
A: This calculator handles simple fractions only. Convert mixed numbers to improper fractions first.

Q3: What if my result is negative?
A: Negative results are valid and indicate the second fraction was larger than the first.

Q4: How does simplification work?
A: The calculator finds the greatest common divisor (GCD) of numerator and denominator and divides both by it.

Q5: What if I enter zero as a denominator?
A: The calculator requires denominators to be positive integers. Zero is not allowed.

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