Explanation:
Let’s solve each problem one by one, step by step. Remember: answers must be in fractions or mixed numbers — not decimals.
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Problem 1:
Four Maths Rats shared seven Twinkle Chocolate Bars.
How many bars did each get? No remainders — answer as a fraction.
- Total bars = 7
- Number of rats = 4
- Each rat gets: 7 ÷ 4 =
7/4
- As a mixed number: 7 ÷ 4 = 1 remainder 3 →
1 ¾
✔ Answer:
1 ¾
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Problem 2:
Seven children shared 4 litres of lemonade equally.
How much did each get?
- Total lemonade = 4 L
- Children = 7
- Each gets: 4 ÷ 7 =
4/7 litre
- This is already a proper fraction (less than 1), so no mixed number needed.
✔ Answer:
4/7
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Problem 3:
A bus travelled 8 miles in 3 hours. What was its average speed?
Give as a mixed number.
- Speed = distance ÷ time = 8 ÷ 3
- 8 ÷ 3 = 2 remainder 2 →
2 ⅔ miles per hour
✔ Answer:
2 ⅔
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Problem 4:
Car factory makes 70 cars in 6 hours. How many per hour? Mixed number.
- 70 ÷ 6
- Simplify: both divisible by 2 → 35 ÷ 3
- 35 ÷ 3 = 11 remainder 2 →
11 ⅓ cars/hour
✔ Answer:
11 ⅓
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Problem 5:
An oil tank is filled with 200 litres in 30 seconds. How many litres per second? Mixed number.
- Rate = 200 ÷ 30
- Simplify: divide numerator and denominator by 10 → 20 ÷ 3
- 20 ÷ 3 = 6 remainder 2 →
6 ⅔ litres per second
✔ Answer:
6 ⅔
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Problem 6:
Ten machines made 100 tonnes of sugar in 8 hours. What was the average per machine per hour?
- First: total sugar per hour = 100 ÷ 8 = 12.5 =
12 ½ tonnes/hour (for all machines together)
- Now divide by 10 machines: (12 ½) ÷ 10
- Convert 12 ½ to improper fraction: 25/2
- (25/2) ÷ 10 = 25/2 × 1/10 = 25/20 =
5/4 =
1 ¼
✔ Answer:
1 ¼
(Alternative way: total sugar = 100 tonnes, total machine-hours = 10 machines × 8 hrs = 80 machine-hours. So per machine per hour = 100 ÷ 80 = 10/8 = 5/4 = 1 ¼ — same result.)
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Problem 7:
Mrs Smith’s family milk cartons per day:
Sun: 4, Mon: 5, Tue: 3, Wed: 3, Thu: 4, Fri: 4, Sat: 3
What’s the average per day?
- Add them up:
4 + 5 = 9
9 + 3 = 12
12 + 3 = 15
15 + 4 = 19
19 + 4 = 23
23 + 3 =
26 total cartons
- Days = 7
- Average = 26 ÷ 7 =
26/7
- As mixed number: 7 × 3 = 21, remainder 5 →
3 ⁵⁄₇
✔ Answer:
3 ⁵⁄₇
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Now double-check all:
1. 7/4 = 1 ¾ ✔
2. 4/7 ✔
3. 8/3 = 2 ⅔ ✔
4. 70/6 = 35/3 = 11 ⅓ ✔
5. 200/30 = 20/3 = 6 ⅔ ✔
6. 100 ÷ (10×8) = 100/80 = 5/4 = 1 ¼ ✔
7. 26/7 = 3 ⁵⁄₇ ✔
All correct.
Final Answer:
1. 1 ¾
2. 4/7
3. 2 ⅔
4. 11 ⅓
5. 6 ⅔
6. 1 ¼
7. 3 ⁵⁄₇
Parent Tip: Review the logic above to help your child master the concept of fractions decimals and percents word problems worksheet.
