Desmos Calculator Fraction Subtraction And Division

Fraction Operations:

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

Subtraction Result:

Division Result:

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1. What Are Fraction Operations?

This calculator performs two fundamental fraction operations: subtraction and division. Understanding these operations is essential for algebra, engineering, and many real-world applications.

2. How Does the Calculator Work?

The calculator uses standard fraction operation formulas:

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

Where:

\( a \) — First fraction numerator
\( b \) — First fraction denominator
\( c \) — Second fraction numerator
\( d \) — Second fraction denominator

Explanation: For subtraction, we find a common denominator. For division, we multiply by the reciprocal of the second fraction.

3. Importance of Fraction Calculations

Details: Fraction operations are fundamental in mathematics, physics, engineering, and everyday measurements. Accurate calculations are crucial for precise results.

4. Using the Calculator

Tips: Enter all four values (two numerators and two denominators). Denominators cannot be zero. Results are automatically simplified.

5. Frequently Asked Questions (FAQ)

Q1: What if I get a negative result?
A: Negative results are valid and indicate the first fraction is smaller than the second in subtraction.

Q2: How are results simplified?
A: Results are reduced using the greatest common divisor (GCD) of numerator and denominator.

Q3: What if denominators are equal?
A: Subtraction becomes simpler: (a-c)/b. Division remains (a*d)/(b*c).

Q4: Can I enter mixed numbers?
A: Convert mixed numbers to improper fractions first (e.g., 1½ becomes 3/2).

Q5: What about decimal results?
A: This calculator shows fractional results. For decimals, divide numerator by denominator.