📐 DIVISION AND FRACTIONS – HOMEWORK ON 05.08.2026
Name: ______________________________
1. Multiple Choice
The fraction \(\frac{r}{s}\) must be equal to which expression?
A. \(r+s\)
B. \(r-s\)
C. \(r\div s\)
D. \(r\times s\)
2. Multiple Choice
Which expression is equal to \(\frac{6}{7}\)?
A. \(6+7\)
B. \(6\times7\)
C. \(6\div7\)
D. \(6-7\)
3. Multiple Choice
The fraction \(\frac{l}{m}\) must be equal to which expression?
A. \(m\div l\)
B. \(l\times m\)
C. \(l\div m\)
D. \(m\times l\)
4. Arrange the Cards
Drag the cards below to create an expression that is equal to \(\frac{4}{12}\).
Cards: \(\div\) \(4\) \(12\)
Expression: __________________________________
5. Complete the Equation
\(\frac{9}{4}=\underline{\hspace{1cm}}\div4\)
6. Divide
\(8\div5=?\)
A. \(\frac{8}{3}\)
B. \(\frac{5}{8}\)
C. \(\frac{8}{5}\)
D. \(\frac{3}{8}\)
7. Multiple Choice
Which expression is equal to \(\frac{9}{8}\)?
A. \(8-9\)
B. \(9\div8\)
C. \(8\div9\)
D. \(9-8\)
8. Word Problem
A can holds 2 liters of paint.
How many cans can we fill with 11 liters of paint?
Include fractions of cans.
Answer: ______________________________
9. Multiple Choice
4 people divide 10 scoops of lentils equally.
About how many scoops of lentils does each person get?
A. Between 0 and 1 scoops
B. Between 1 and 2 scoops
C. Between 2 and 3 scoops
D. Between 3 and 4 scoops
10. Multiple Choice
The Hernandez family is splitting 7 liters of gasoline equally between their 4 cars.
How many liters of gasoline should each car get?
A. \(1\frac{1}{4}\) liters of gasoline
B. \(1\frac{2}{4}\) liters of gasoline
C. \(1\frac{3}{4}\) liters of gasoline
11. Multiple Choice
Sarah, Leah, Haley, Lindsay, and Kim bought 4 bottles of water to share among themselves. They divided each bottle of water into 5 equal portions to share.
Which equation represents how much of a bottle of water each person will get?
A. \(4\div5=\frac{4}{5}\)
B. \(5\div4=\frac{5}{4}\)
C. \(4\div5=\frac{5}{4}\)
D. \(5\div4=\frac{4}{5}\)
12. Multiple Choice
Which expression is equivalent to \(12\div(10+3)\)?
A. \(\frac{12}{10+3}\)
B. \(\frac{3}{12+10}\)
C. \(\frac{10+3}{12}\)
D. \(\frac{12+10}{3}\)
13. Multiple Choice
Which expression is equivalent to \(\frac{11-6}{4}\)?
A. \(4\div(11-6)\)
B. \((11-6)\div4\)
C. \(11-6\div4\)
D. \(4\div11-6\)
14. Multiple Choice
Which expression is equivalent to \(\frac{9}{4+5}\)?
A. \(4+5\div9\)
B. \(9\div4+5\)
C. \((4+5)\div9\)
D. \(9\div(4+5)\)
15. Multiple Choice
Which expression is equivalent to \((6+9)\div5\)?
A. \(\frac{5}{6+9}\)
B. \(\frac{6}{9+5}\)
C. \(\frac{6+9}{5}\)
D. \(\frac{9+5}{6}\)
16. Arrange the Cards
Drag the cards below to create an expression that is equal to \(\frac{1}{6}\).
Cards: \(\div\) \(6\) \(1\)
Expression: __________________________________
17. Word Problem
An aquarium holds 12 liters of water.
How many aquariums can we fill with 54 liters of water?
Include fractions of aquariums.
Answer: ______________________________
18. Complete the Equation
\(\frac{7}{3}=7\div\underline{\hspace{1cm}}\)
19. Multiple Choice
Which expression is equivalent to \(6\div(7-4)\)?
A. \(\frac{7-4}{6}\)
B. \(\frac{6}{7-4}\)
C. \(\frac{7}{6-4}\)
D. \(\frac{6-4}{7}\)
20. Multiple Choice
3 friends share 2 pizzas evenly.
About how much pizza will each friend get?
A. Between 0 and 1 pizzas
B. Between 1 and 2 pizzas
C. Between 2 and 3 pizzas
D. Between 3 and 4 pizzas
21. Multiple Choice
Which expression is equivalent to \(12\div\frac{3}{4}\)?
A. \(\frac{1}{12}\times\frac{4}{3}\)
B. \(12\times\frac{3}{4}\)
C. \(\frac{1}{12}\times\frac{3}{4}\)
D. \(12\times\frac{4}{3}\)
22. Multiple Choice
Which expression is equivalent to \(\frac{4}{3}\div\frac{2}{9}\)?
A. \(\frac{3}{4}\times\frac{2}{9}\)
B. \(\frac{4}{3}\times\frac{9}{2}\)
C. \(\frac{3}{4}\times\frac{9}{2}\)
D. \(\frac{4}{3}\times\frac{2}{9}\)
23. Multiple Choice
Which expression is equivalent to \(\frac{3}{4}\div2\)?
A. \(\frac{4}{3}\times2\)
B. \(\frac{3}{4}\times\frac{1}{2}\)
C. \(\frac{4}{3}\times\frac{1}{2}\)
D. \(\frac{3}{4}\times2\)
24. Multiple Choice
Which expression is equivalent to \(7\div\frac{3}{2}\)?
A. \(\frac{1}{7}\times\frac{2}{3}\)
B. \(7\times\frac{2}{3}\)
C. \(7\times\frac{3}{2}\)
D. \(\frac{1}{7}\times\frac{3}{2}\)
📝 ANSWER KEY
Question 1: C \( r \div s \)
Explanation: A fraction represents division. The numerator is divided by the denominator.
Question 2: C \( 6 \div 7 \)
Explanation: The fraction \( \frac{6}{7} \) means 6 divided by 7.
Question 3: C \( l \div m \)
Explanation: A fraction \( \frac{l}{m} \) means l divided by m.
Question 4: 4 ÷ 12
Explanation: \( \frac{4}{12} = 4 \div 12 \)
Question 5: 9
Explanation: The numerator is 9, so \( 9 \div 4 \)
Question 6: C \( \frac{8}{5} \)
Explanation: \( 8 \div 5 = \frac{8}{5} \)
Question 7: B \( 9 \div 8 \)
Explanation: \( \frac{9}{8} = 9 \div 8 \)
Question 8: 5 1/2 cans
Explanation: 11 liters ÷ 2 liters per can = \( 5\frac{1}{2} \) cans
Question 9: C Between 2 and 3 scoops
Explanation: \( 10 \div 4 = \frac{10}{4} = 2.5 \) scoops, which is between 2 and 3
Question 10: C \( 1\frac{3}{4} \) liters of gasoline
Explanation: \( 7 \div 4 = \frac{7}{4} = 1\frac{3}{4} \)
Question 11: A \( 4 \div 5 = \frac{4}{5} \)
Explanation: 4 bottles ÷ 5 people = \( \frac{4}{5} \) bottle per person
Question 12: A \( \frac{12}{10+3} \)
Explanation: \( 12 \div (10+3) = \frac{12}{10+3} \)
Question 13: B \( (11-6) \div 4 \)
Explanation: \( \frac{11-6}{4} = (11-6) \div 4 \)
Question 14: D \( 9 \div (4+5) \)
Explanation: \( \frac{9}{4+5} = 9 \div (4+5) \)
Question 15: C \( \frac{6+9}{5} \)
Explanation: \( (6+9) \div 5 = \frac{6+9}{5} \)
Question 16: 1 ÷ 6
Explanation: \( \frac{1}{6} = 1 \div 6 \)
Question 17: 4 1/2 aquariums
Explanation: 54 liters ÷ 12 liters per aquarium = \( 4\frac{1}{2} \) aquariums
Question 18: 3
Explanation: The denominator is 3, so \( 7 \div 3 \)
Question 19: B \( \frac{6}{7-4} \)
Explanation: \( 6 \div (7-4) = \frac{6}{7-4} \)
Question 20: A Between 0 and 1 pizzas
Explanation: \( 2 \div 3 = \frac{2}{3} \) pizza, which is between 0 and 1
Question 21: D \( 12 \times \frac{4}{3} \)
Explanation: Dividing by \( \frac{3}{4} \) is the same as multiplying by its reciprocal \( \frac{4}{3} \)
Question 22: B \( \frac{4}{3} \times \frac{9}{2} \)
Explanation: Dividing by \( \frac{2}{9} \) is the same as multiplying by its reciprocal \( \frac{9}{2} \)
Question 23: B \( \frac{3}{4} \times \frac{1}{2} \)
Explanation: Dividing by 2 is the same as multiplying by \( \frac{1}{2} \)
Question 24: B \( 7 \times \frac{2}{3} \)
Explanation: Dividing by \( \frac{3}{2} \) is the same as multiplying by its reciprocal \( \frac{2}{3} \)
📊 SUMMARY TABLE
| Question | Answer |
|---|---|
| 1 | C |
| 2 | C |
| 3 | C |
| 4 | 4 ÷ 12 |
| 5 | 9 |
| 6 | C |
| 7 | B |
| 8 | 5 1/2 cans |
| 9 | C |
| 10 | C |
| 11 | A |
| 12 | A |
| 13 | B |
| 14 | D |
| 15 | C |
| 16 | 1 ÷ 6 |
| 17 | 4 1/2 aquariums |
| 18 | 3 |
| 19 | B |
| 20 | A |
| 21 | D |
| 22 | B |
| 23 | B |
| 24 | B |
📚 KEY CONCEPTS COVERED
| Concept | Questions |
|---|---|
| Fractions as Division | 1, 2, 3, 4, 5, 6, 7, 16, 18 |
| Fractions as Division Word Problems | 8, 9, 10, 11, 17, 20 |
| Expressions with Fractions | 12, 13, 14, 15, 19 |
| Dividing Fractions (Reciprocals) | 21, 22, 23, 24 |
End of Homework – Division and Fractions
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