Grade 7 · Math · Unit 3 of 16
Adding & Subtracting Fractions
Unlike denominators and mixed numbers
What your child practises
Adding and subtracting positive fractions and mixed numbers with like and unlike denominators, in lowest terms.
Nunavut Curriculum approved guide: Alberta Mathematics K–9 (2007), Number · adding and subtracting positive fractions and mixed numbers with unlike denominators
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 2 4/5 − 1 1/2?
- 1 3/10
- 1 5/7
- 2 3/10
- 3/10
1 3/10
Hint: Change each mixed number to an improper fraction (or work with the whole numbers and fractions separately), use the common denominator 10, then simplify.
Question 2
What is 2/3 − 2/6?
2/3 − 2/6
- 1/2
- 2/3
- 1/3
- 1/6
1/3
Hint: Use the common denominator 6, subtract the numerators, then simplify.
Question 3
Amir walked 1/6 km to the library and then 5/10 km to a friend's house. How far did Amir walk in all, in kilometres?
- 2/3
- 7/10
- 3/8
- 1/5
2/3
Hint: Add 1/6 + 5/10 using the common denominator 30.
Question 4
Amir walked 4/6 km to the library and then 3/8 km to a friend's house. How far did Amir walk in all, in kilometres?
- 1 1/12
- 7/24
- 1 1/24
- 1/2
1 1/24
Hint: Add 4/6 + 3/8 using the common denominator 24.
Question 5
What is 1/2 + 5/12?
1/2 + 5/12
- 3/7
- 1
- 11/12
- 1/2
11/12
Hint: Write both fractions with the common denominator 12, add the numerators, then simplify.
Question 6
What is 2 5/6 + 3 1/3?
- 5 2/3
- 6 1/6
- 5 1/6
- 7 1/6
6 1/6
Hint: Change each mixed number to an improper fraction (or work with the whole numbers and fractions separately), use the common denominator 6, then simplify.