In this worksheet, we will practice dividing a mixed number by another and using this to evaluate algebraic expressions in real-life situations.

**Q2: **

Without evaluating each expression, decide whether is greater than or less than .

- Aless than
- Bgreater than

**Q3: **

Adam’s room is 173 inches long. Express, in feet, his room’s length as a mixed number in the simplest form.

- A ft
- B ft
- C ft
- D ft
- E ft

**Q4: **

To finish making curtains for her 18 windows, Dalia needs yards of fabric per window. At the store, she found a bolt of fabric she liked with yards on it. How many windows can she finish the curtains for?

**Q5: **

Yara is making bed sheets that will take yards of fabric. If that fabric is sold in half yards , determine how many yards of fabric she will need.

- A 7 yd
- B 6 yd
- C yd
- D yd
- E yd

**Q6: **

A cloth of length meters was cut into 17 equal pieces. How long is each piece?

- A m
- B m
- C m
- D m

**Q7: **

A school wants to organise a 5 km race. A lap around the park is miles. Given that , how many laps will the children run? Give your answer as a mixed number.

- A
- B
- C6
- D
- E

**Q8: **

.

- A
- B
- C
- D

**Q9: **

Evaluate giving the answer in its simplest form.

- A
- B
- C
- D
- E

**Q10: **

Evaluate giving the answer in its simplest form.

- A
- B
- C
- D
- E

**Q11: **

Amira and Amir have walked km in hours.

As they want to walk for 3 hours, what fraction of their walk have they completed so far?

- A
- B
- C
- D
- E

If they keep up the same pace, what distance will they have walked in 3 hours?

- A km
- B km
- C km
- D km
- E km

**Q12: **

Identify, without performing any division, the expression which has a quotient greater than 1.

- A
- B
- C
- D
- E

**Q13: **

Shady and Maged want to make some cupcakes for their younger sister’s birthday. Shady goes to the store and buys cups of sugar. When he gets home, Maged says he located of a cup of sugar. The recipe says that they can make a dozen cupcakes with cups of sugar. If they combine the sugar they have, and they have all the other necessary ingredients, how many full batches of a dozen cupcakes can they make?

- A1 batch
- BNone because they do not have enough sugar
- C3 batches
- D2 batches

**Q14: **

A worker earns per hour. One day he earns . How long did he work that day?

**Q15: **

A shirt can be made from yards of fabric. How many shirts can you make with 48 yards of fabric?

- A 16 shirts
- B 17 shirts
- C 19 shirts
- D 18 shirts

**Q16: **

A wire that is 88 metres long was cut into pieces of metres each. Find the number of pieces produced.

**Q19: **

Sameh’s room is 167 inches long. Express, in feet, his room’s length as a mixed number in the simplest form.

- A ft
- B ft
- C ft
- D ft
- E ft

**Q20: **

Without evaluating each expression, decide whether is greater than or less than .

- Agreater than
- Bless than

**Q22: **

It took Adel one hour and a half to clean two-thirds of the house. How long will it take him to clean the whole house? Give your answer as a mixed number in hours and minutes.

- A hours,
- B hours,
- C hours,
- D hours,
- E hours,

**Q23: **

Yara spent , or three-quarters of her pocket money, on books. How much pocket money did she have before she bought the books?

**Q24: **

Calculate . Give your answer in its simplest form.

- A
- B
- C
- D

**Q25: **

Use the diagram to find (i.e., the number that is of).

- A
- B
- C
- D
- E