Adding Fractions with Same Denominator
Master the basics of adding fractions when denominators are equal.
Introduction
Adding fractions is easier when they have the same denominator. This lesson teaches you the fundamental rule for adding such fractions.
The Rule
When adding fractions with the same denominator, simply add the numerators and keep the denominator the same.
Example
2/5 + 1/5 = 3/5 (we add 2+1=3 and keep denominator 5)
Why Does This Work?
Think of the denominator as the "size" of each piece. If pieces are the same size, we just count how many we have in total.
Example
2 fifths + 1 fifth = 3 fifths, just like 2 apples + 1 apple = 3 apples
Simplifying Results
After adding, check if your answer can be simplified by finding common factors.
Example
2/6 + 2/6 = 4/6 = 2/3 (divide both by 2)
Key Takeaways
- 1Add numerators, keep denominators the same
- 2Always check if you can simplify your answer
- 3Same denominator means same-sized pieces
Practice Problems
Test your understanding with these questions
What is 3/7 + 2/7?
Simplify: 2/8 + 2/8
What is 1/4 + 2/4 + 1/4?