7th grade · Math · Unit 3 of 22
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.
Texas Essential Knowledge and Skills (TEKS) teks student expectation: 7.3(A) · 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 Texas
In the Texas Essential Knowledge and Skills (TEKS), this is unit 3 of 22 in 7th grade Math, after Multiply & Divide Signed Numbers and before Decimal Operations.
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: Texas Education Agency (TEA)
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 3/4 + 4/9?
3/4 + 4/9
- 1 7/36
- 7/13
- 1 2/9
1 7/36
Hint: Make the denominators the same (36), then add the numerators.
Question 2
What is 1/3 ÷ 1/2?
1/3 ÷ 1/2
- 1/6
- 1 1/2
- 2/3
2/3
Hint: Keep the first fraction, flip the second, and multiply.
Question 3
What is 1/4 ÷ 1/3?
1/4 ÷ 1/3
- 3/4
- 1/12
- 1 1/3
3/4
Hint: Keep the first fraction, flip the second, and multiply.
Question 4
What is 3/5 × 1/6?
3/5 × 1/6
- 4/11
- 3/11
- 1/10
1/10
Hint: Multiply the numerators. Multiply the denominators. Then simplify.
Question 5
What is 4/5 − 5/12?
4/5 − 5/12
- 23/60
- 2/5
- 1/7
23/60
Hint: Make the denominators the same (60), then subtract the numerators.
Question 6
What is 1/2 + 3/5?
1/2 + 3/5
- 1 1/5
- 1 1/10
- 4/7
1 1/10
Hint: Make the denominators the same (10), then add the numerators.