7th grade · Math · Unit 8 of 18
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.
Alabama Course of Study content standard: 7.4; 7.5 · adding, subtracting, multiplying and dividing fractions
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 Alabama
In the Alabama Course of Study, this is unit 8 of 18 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 + 3/5?
1/2 + 3/5
- 1 1/5
- 4/7
- 1 1/10
1 1/10
Hint: Make the denominators the same (10), then add the numerators.
Question 2
What is 1/2 × 1/4?
1/2 × 1/4
- 1/6
- 1/3
- 1/8
1/8
Hint: Multiply the numerators. Multiply the denominators. Then simplify.
Question 3
What is 3/4 × 6/8?
3/4 × 6/8
- 3/4
- 9/16
- 1 1/2
9/16
Hint: Multiply the numerators. Multiply the denominators. Then simplify.
Question 4
What is 1/2 − 2/5?
1/2 − 2/5
- 1/10
- 1/3
- 1/5
1/10
Hint: Make the denominators the same (10), then subtract the numerators.
Question 5
What is 3/4 − 1/9?
3/4 − 1/9
- 2/5
- 23/36
- 2/3
23/36
Hint: Make the denominators the same (36), then subtract the numerators.
Question 6
What is 3/4 ÷ 1/5?
3/4 ÷ 1/5
- 4/15
- 3 3/4
- 3/20
3 3/4
Hint: Keep the first fraction, flip the second, and multiply.