How To Add Fractions Calculator

Fraction Addition Formula:

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

Result:

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1. What is Fraction Addition?

Fraction addition combines two fractions into a single fraction. To add fractions, they must have a common denominator, which can be found by multiplying the denominators together.

2. How Does the Calculator Work?

The calculator uses the fraction addition formula:

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

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 a common denominator by multiplying the denominators, then adds the numerators after adjusting them to the common denominator.

3. Importance of Common Denominators

Details: Fractions can only be directly added when they share the same denominator. The common denominator is the product of the individual denominators.

4. Using the Calculator

Tips: Enter all four values (two numerators and two denominators). Denominators must be positive integers. The calculator will simplify the result if possible.

5. Frequently Asked Questions (FAQ)

Q1: Can I add fractions with different denominators?
A: Yes, but you must first find a common denominator, typically by multiplying the denominators together.

Q2: How do I simplify the result?
A: The calculator automatically simplifies the result by dividing numerator and denominator by their greatest common divisor.

Q3: What if one denominator is a multiple of the other?
A: You can use the larger denominator as the common denominator to simplify calculations.

Q4: Can I add mixed numbers with this calculator?
A: First convert mixed numbers to improper fractions, then use the calculator.

Q5: What about negative fractions?
A: This calculator handles positive fractions only. For negative values, consider the sign separately.