7th grade · Math · Unit 7 of 15
Fractions
Add, subtract, multiply, divide
What your child practices
Adding and subtracting fractions with different denominators, and multiplying and dividing a fraction by a fraction.
Minnesota K-12 Academic Standards benchmark: 7.3.5.6 · adding, subtracting, multiplying and dividing rational numbers
How we explain it
Children can open this short lesson before they practice.
- To add or subtract, rename the fractions with a common denominator.
- To multiply, multiply the tops and multiply the bottoms.
- To divide, multiply by the reciprocal (flip the second fraction).
Example: 2/3 ÷ 1/6 = ? Flip 1/6 to 6/1 and multiply. 2/3 × 6 = 12/3. 12/3 = 4. Answer: 4
Fractions in Minnesota
In the Minnesota K-12 Academic Standards, this is unit 7 of 15 in 7th grade Math, after Probability and before Percents & Proportions.
Gradelings describes a child's practice on this unit as Beginning, Approaching, Meeting or Exceeding (Four practice steps). That reflects practice, not a report-card mark: the teacher decides the mark.
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 1/2 + 2/7?
1/2 + 2/7
- 11/14
- 1/3
- 6/7
11/14
Hint: Make the denominators the same (14), then add the numerators.
Question 2
What is 3/5 ÷ 2/5?
3/5 ÷ 2/5
- 1 1/2
- 2/3
- 6/25
1 1/2
Hint: Keep the first fraction, flip the second, and multiply.
Question 3
What is 4/5 × 7/8?
4/5 × 7/8
- 7/10
- 2 2/13
- 11/13
7/10
Hint: Multiply the numerators. Multiply the denominators. Then simplify.
Question 4
What is 4/5 − 4/6?
4/5 − 4/6
- 2/15
- 1/10
- 1/6
2/15
Hint: Make the denominators the same (30), then subtract the numerators.
Question 5
What is 2/3 + 9/10?
2/3 + 9/10
- 11/13
- 1 17/30
- 1 3/5
1 17/30
Hint: Make the denominators the same (30), then add the numerators.
Question 6
What is 4/5 − 4/8?
4/5 − 4/8
- 11/40
- 13/40
- 3/10
3/10
Hint: Make the denominators the same (40), then subtract the numerators.