1. What is Fraction Subtraction with HCF?

Fraction subtraction with HCF involves subtracting two fractions and then simplifying the result by dividing both numerator and denominator by their highest common factor (HCF). This process ensures the fraction is in its simplest form.

2. How Does the Calculator Work?

The calculator uses the following steps:

Then simplifies the result by finding the HCF of numerator and denominator:

• Find HCF of numerator and denominator
• Divide both by the HCF to get simplified form

3. Importance of Simplifying Fractions

Details: Simplified fractions are easier to work with and understand. They represent the same value in the most reduced form, making comparisons and further calculations simpler.

4. Using the Calculator

Tips: Enter numerators and denominators of both fractions. Denominators must be positive integers. The calculator will subtract the fractions and simplify the result using HCF.

5. Frequently Asked Questions (FAQ)

Q1: What if my result is negative?
A: Negative results are valid and will be simplified the same way as positive fractions.

Q2: What if the denominators are the same?
A: The calculation becomes simpler: (a - c)/b, but the calculator will still check for simplification.

Q3: How is HCF calculated?
A: Using the Euclidean algorithm which efficiently finds the greatest common divisor.

Q4: What if the result is an improper fraction?
A: The calculator will show the improper fraction in simplified form. You may convert it to a mixed number if desired.

Q5: Can I subtract mixed numbers?
A: This calculator works with simple fractions. Convert mixed numbers to improper fractions first.