7th grade · Math · Unit 8 of 17
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.
Alaska content standards learning standard: 7.NS.1; 7.NS.2 · 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 Alaska
In the Alaska content standards, this is unit 8 of 17 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.
Source: Alaska Department of Education and Early Development
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 + 1/5?
1/2 + 1/5
- 2/7
- 4/5
- 7/10
7/10
Hint: Make the denominators the same (10), then add the numerators.
Question 2
A jug is 2/4 full. You pour out 2/5 of what is in it. What fraction of the whole jug did you pour out?
- 2/5
- 1/5
- 4/9
1/5
Hint: Find a fraction OF a fraction. Multiply.
Question 3
What is 3/5 − 1/8?
3/5 − 1/8
- 2/3
- 19/40
- 1/2
19/40
Hint: Make the denominators the same (40), then subtract the numerators.
Question 4
What is 2/3 + 2/4?
2/3 + 2/4
- 1 1/4
- 1 1/6
- 4/7
1 1/6
Hint: Make the denominators the same (12), then add the numerators.
Question 5
What is 4/8 × 2/6?
4/8 × 2/6
- 4/7
- 3/7
- 1/6
1/6
Hint: Multiply the numerators. Multiply the denominators. Then simplify.
Question 6
What is 1/3 − 2/8?
1/3 − 2/8
- 1/5
- 1/12
- 1/8
1/12
Hint: Make the denominators the same (24), then subtract the numerators.