Fraction Addition Calculator

Understanding Fraction Addition

Fraction addition is a fundamental arithmetic operation used to find the sum of two or more fractions. A fraction represents a part of a whole and is written as a numerator over a denominator.

Formula:

To add two fractions

• If denominators are the same (b = d): Add the numerators and keep the denominator the same: $$ rac{a}{b} + rac{c}{b} = rac{a+c}{b} $$
• If denominators are different (b ≠ d): Find a common denominator (e.g., b*d), convert each fraction to have this denominator, then add the numerators: $$ rac{a}{b} + rac{c}{d} = rac{ad+cb}{bd} $$

Example:

Let's add

• Find a common denominator: The least common multiple of 2 and 4 is 4.
• Convert
  1
  2
  to have a denominator of 4:
  1
  2
  =
  1 * 2
  2 * 2
  =
  2
  4
  .
• Now add the fractions with the common denominator:
  2
  4
  +
  1
  4
  =
  2 + 1
  4
  =
  3
  4
  .

Therefore,