Adding Fractions with the Same Denominator
When fractions share the same denominator, adding them is straightforward — simply add the numerators and keep the denominator the same.
What You Need to Know
Key Concept Diagram
Only fractions with the same denominator (like fractions) can be added directly
Add the numerators together; the denominator stays the same (e.g. 2/5 + 1/5 = 3/5)
If the answer is an improper fraction (numerator ≥ denominator), convert it to a mixed number
Fraction addition can be shown on a number line or fraction bar model
Key Vocabulary
Like fractions
Fractions that share the same denominator (e.g. 3/8 and 5/8)
Improper fraction
A fraction where the numerator is greater than or equal to the denominator (e.g. 9/4)
Mixed number
A number combining a whole number and a proper fraction (e.g. 2¼)
Sum
The result of adding two or more numbers or fractions
Knowledge Check
Select the correct answer for each question. Click "Check Answer" to see if you are right.
Question 1
What is 2/7 + 3/7?
Question 2
What is 4/9 + 6/9 in simplest form?
Question 3
Lena ate 3/8 of a pizza and Tom ate 2/8 of the same pizza. How much pizza did they eat altogether?
Key Concepts Summary
- ●Only fractions with the same denominator (like fractions) can be added directly
- ●Add the numerators together; the denominator stays the same (e.g. 2/5 + 1/5 = 3/5)
- ●If the answer is an improper fraction (numerator ≥ denominator), convert it to a mixed number
- ●Fraction addition can be shown on a number line or fraction bar model