5th grade · Math · Unit 13 of 14
Unlike Denominators
Add fractions with different bottoms
What your child practices
Adding and subtracting fractions and mixed numbers with different denominators by finding a common denominator, and checking with benchmark fractions.
Oregon State Standards learning standard: 5.NF.A.1; 5.NF.A.2 · adding and subtracting fractions and mixed numbers with unlike denominators, including in word problems
How we explain it
Children can open this short lesson before they practice.
- Find a common denominator.
- Rename each fraction with that denominator.
- Add or subtract the tops. Keep the bottom. Simplify.
Example: What is 1/2 + 1/3? Common denominator: 6. 1/2 = 3/6 and 1/3 = 2/6. 3/6 + 2/6 = 5/6. Answer: 5/6
Sample questions
A taste of this unit. In the app, questions change every time and get easier or harder to match your child.
Question 1
What is 1/3 − 1/5?
1/3 − 1/5 = ?
- 2/15
- 8/15
- 0
- 1/5
2/15
Hint: Use a common denominator: 5/15 − 3/15.
Question 2
Amir walks 1/3 mile to the park and then 1/2 mile to the library. How far is that in all?
- 1 mile
- 5/12 mile
- 5/6 mile
- 2/5 mile
5/6 mile
Hint: Add 1/3 + 1/2 using a common denominator.
Question 3
What is 4 1/3 + 4 2/5?
- 9 11/15
- 8 3/8
- 7 11/15
- 8 11/15
8 11/15
Hint: Add the whole numbers, then add the fractions with a common denominator.
Question 4
What is 1/2 + 3/8?
1/2 + 3/8 = ?
- 1/4
- 2/5
- 15/16
- 7/8
7/8
Hint: Use a common denominator: 1/2 = 8/16 and 3/8 = 6/16.
Question 5
Is 3/4 + 5/6 more or less than 1?
- More than 1
- Less than 1
- Exactly 1
More than 1
Hint: Compare each fraction with 1/2 to estimate.
Question 6
What is 3/4 + 1/5?
3/4 + 1/5 = ?
- 19/20
- 1
- 4/9
- 1/5
19/20
Hint: Use a common denominator: 3/4 = 15/20 and 1/5 = 4/20.