Understanding Fractions: Add and Subtract with the Same Denominator
Hi Stephanie! Today we’ll learn how to add and subtract fractions when they have the same bottom number, called the denominator.
Key idea
- When fractions share the same denominator, you only add or subtract the top numbers (the numerators).
- The denominator stays the same.
- If the fractions are the same, you might just reuse the denominator and add or subtract the numerators.
Step-by-step: Adding Fractions with the Same Denominator
- Look at the fractions: you have a/d and b/d.
- Keep the denominator: d.
- Add the numerators: a + b.
- Write the answer as (a + b)/d.
Example: 1/4 + 2/4 = (1+2)/4 = 3/4.
Step-by-step: Subtracting Fractions with the Same Denominator
- Look at the fractions: a/d and b/d.
- Keep the denominator: d.
- Subtract the numerators: a − b.
- Write the answer as (a − b)/d.
Example: 3/5 − 1/5 = (3−1)/5 = 2/5.
Practice Problems
- 2/6 + 1/6 = ?
- 5/8 − 3/8 = ?
- 4/9 + 2/9 = ?
Answers: 3/6 (which can simplify to 1/2), 2/8 (which can simplify to 1/4), 6/9 (which can simplify to 2/3).
Helpful Tips
- Always check if you can simplify the final fraction by dividing numerator and denominator by a common number.
- If you need to add fractions with different denominators, you may need to find a common denominator first (not covered here yet).
Great job practicing, Stephanie! Keep working with the steps and you’ll become even better at adding and subtracting fractions.