Fractions Subtracting

Fraction Subtraction Formula:

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

Result:

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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, which is achieved by finding the least common multiple of the denominators.

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:

\( a \) — Numerator of the first fraction
\( b \) — Denominator of the first fraction
\( c \) — Numerator of the second fraction
\( d \) — Denominator of the second fraction

Explanation: The formula works by creating a common denominator (b × d) and then subtracting the adjusted numerators.

3. Importance of Fraction Subtraction

Details: Fraction subtraction is fundamental in mathematics and has applications in measurements, ratios, probability, and many real-world problems involving parts of wholes.

4. Using the Calculator

Tips: Enter the numerators and denominators of both fractions. Denominators must be positive integers. The calculator will display both the simplified result and the original unsimplified fraction.

5. Frequently Asked Questions (FAQ)

Q1: What if the denominators are the same?
A: If denominators are equal, simply subtract the numerators and keep the same denominator.

Q2: Can I subtract mixed numbers with this calculator?
A: First convert mixed numbers to improper fractions, then use the calculator.

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

Q4: How does simplification work?
A: The calculator uses the greatest common divisor (GCD) to reduce the fraction to its simplest form.

Q5: What if I get a denominator of 1?
A: This means the result is a whole number (the numerator value).