When adding and subtracting fractions, we need the denominators to be the same, then we can add or subtract the numerators.

Addition and Subtraction of Fractions with Common Denominators

Video Source (04:57 mins) | Transcript

After doing the addition or subtraction, check to see if the fraction can be simplified! Find the prime factorization of the numerator and the denominator and see if anything can cancel out.

## Additional Resources

- Khan Academy: Adding Fractions with Like Denominators (03:17 mins, Transcript)
- Khan Academy: Subtracting Fractions with Like Denominators (02:25 mins, Transcript)

### Practice Problems

**Combine and simplify the following fractions:**

- \(\displaystyle \frac{1}{5}+\frac{2}{5}\) (Solution
- \(\displaystyle \frac{2}{7}+\frac{4}{7}\) (Solution
- \(\displaystyle \frac{4}{5}+\frac{2}{5}\) (Video Solution
- \(\displaystyle \frac{5}{6}-\frac{3}{6}\) (Video Solution
- \( \displaystyle\frac{4}{9}-\frac{5}{9}\) (Solution
- \(\displaystyle \frac{11}{5}-\frac{7}{5}\) (Solution

## Need More Help?

- Study other Math Lessons in the Resource Center.
- Visit the Online Tutoring Resources in the Resource Center.
- Contact your Instructor.
- If you still need help, Schedule a Tutor.