1. What is Adding Fractions with Unlike Denominators?

Adding fractions with different denominators requires finding a common denominator (LCD) before performing the addition. This calculator automates the process of finding the LCD and adding the fractions.

2. How Does the Calculator Work?

The calculator uses the following formula:

Where:

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

Explanation: The calculator finds the least common denominator by multiplying the denominators, then adds the numerators after adjusting them to the new denominator.

3. Importance of Finding LCD

Details: Finding the least common denominator is essential for adding, subtracting, or comparing fractions with different denominators. It allows fractions to be expressed with the same base for accurate arithmetic operations.

4. Using the Calculator

Tips: Enter the numerators and denominators of both fractions. Denominators must be positive integers. The calculator will display the sum in fraction form and its decimal equivalent.

5. Frequently Asked Questions (FAQ)

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

Q2: How do you simplify the resulting fraction?
A: Find the greatest common divisor (GCD) of the numerator and denominator, then divide both by the GCD.

Q3: Can I add more than two fractions?
A: Yes, by repeatedly applying the same process to each additional fraction.

Q4: What about mixed numbers?
A: Convert mixed numbers to improper fractions first before adding.

Q5: Why is the denominator not zero?
A: Division by zero is undefined in mathematics, so denominators must always be non-zero.