You're right — this is a worksheet of
fraction division word problems. Each problem asks: *“How many groups of size X can be made from total amount Y?”* This is solved by dividing the total amount by the size of each group:
>
Total ÷ Size per group = Number of groups
Let’s solve each one step by step.
---
1) Pizza slices
- Each student gets
17/16 slices.
- Teacher has
34 slices.
- How many students?
>
34 ÷ (17/16) = 34 × (16/17) = (34/17) × 16 =
2 × 16 = 32
✔ Answer: 32 students
---
2) Rabbit speed
- Rabbit moves
9/11 mile per hour.
- Needs to go
9 miles.
- Time = Distance ÷ Speed
>
9 ÷ (9/11) = 9 × (11/9) =
11 hours
✔ Answer: 11 hours
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3) Cupcakes and flour
- Each batch needs
2/3 cup flour.
- Mike has
8 cups.
- Batches = Total flour ÷ flour per batch
>
8 ÷ (2/3) = 8 × (3/2) = (8×3)/2 = 24/2 =
12 batches
✔ Answer: 12 batches
---
4) Ribbon for bows
- Each bow needs
8/13 foot of ribbon.
- Peter has
8 feet.
- Bows = Total ribbon ÷ ribbon per bow
>
8 ÷ (8/13) = 8 × (13/8) =
13 bows
✔ Answer: 13 bows
---
5) Rows of beans
- Each row needs
13/8 square feet.
- Backyard has
13 sq ft.
- Rows = Total area ÷ area per row
>
13 ÷ (13/8) = 13 × (8/13) =
8 rows
✔ Answer: 8 rows
---
6) Chocolate sharing
- Each friend wants
13/11 kg.
- Total chocolate =
13 kg.
- People = Total chocolate ÷ chocolate per person
>
13 ÷ (13/11) = 13 × (11/13) =
11 people
✔ Answer: 11 people
---
7) Track laps
- Race distance =
17 miles.
- Track length =
1/19 mile per lap.
- Laps = Total distance ÷ track length
>
17 ÷ (1/19) = 17 × 19 =
323 laps
✔ Answer: 323 laps
---
8) Sharing lemons
- Jason has
13 lemons.
- Each classmate gets
1/12 of a lemon.
- Classmates = Total lemons ÷ lemon per classmate
>
13 ÷ (1/12) = 13 × 12 =
156 classmates
✔ Answer: 156 classmates
---
9) Paint for classrooms
- Total paint =
18 gallons.
- Each classroom needs
18/11 gallons.
- Classrooms = Total paint ÷ paint per classroom
>
18 ÷ (18/11) = 18 × (11/18) =
11 classrooms
✔ Answer: 11 classrooms
---
10) Hot chocolate mugs
- Jason made
42 pints.
- Each mug holds
21/13 pints.
- Friends = Total pints ÷ pints per mug
>
42 ÷ (21/13) = 42 × (13/21) = (42/21) × 13 = 2 × 13 =
26 friends
✔ Answer: 26 friends
---
##
✔ Final Answers:
1)
32
2)
11
3)
12
4)
13
5)
8
6)
11
7)
323
8)
156
9)
11
10)
26
---
## 💡 Key Concept:
All these problems are
division of fractions, specifically:
>
Whole number ÷ Fraction = Whole number × Reciprocal of fraction
This is because dividing by a fraction means asking, “How many parts of this size fit into the whole?”
Let me know if you’d like a visual model or diagram for any of them!
Parent Tip: Review the logic above to help your child master the concept of dividing fractions word problems worksheet 6th grade.
