Algorithms for Adding and Subtracting Fractions

Algorithms for Adding Fractions with the Same Denominator

1. Add the whole numbers (if possible)
2. Add the numerators
3. Keep the denominator the same
4. Simplify/Reduce the fraction (if possible)

Algorithms for Adding Fractions with Different Denominators

1. Find a common denominator by finding the LCM (Least Common Multiple) of the two denominators
2.  Change the fraction or fractions to have the same denominator
3. Follow the steps for adding fractions with the same denominator.

Algorithms for Subtracting Fractions with the Same Denominator

1. Subtract the numerators
2. Keep the denominator the same
3. Subtract the whole numbers (if possible)
4. Simplify/Reduce the fraction (if possible)

Algorithms for Subtracting Fractions with Different Denominators

1. Find a common denominator by finding the LCM (Least Common Multiple) of the two denominators
2. Change the fraction or fractions to have the same denominator
3. Follow the steps for subtracting fractions with the same denominator