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Fractions word problems worksheet with seven math questions and a table for calculating average milk cartons per day.

A worksheet titled "Fractions: word problems" from urbrainy.com, featuring seven math word problems involving fractions and mixed numbers, with a cartoon mouse character in the top left corner and a table for calculating average cartons of milk per day.

A worksheet titled "Fractions: word problems" from urbrainy.com, featuring seven math word problems involving fractions and mixed numbers, with a cartoon mouse character in the top left corner and a table for calculating average cartons of milk per day.

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Show Answer Key & Explanations Step-by-step solution for: Fraction word problems - Fraction and Decimal Worksheets for Year ...
Sure! Let’s solve each of the 7 word problems step by step, writing answers as fractions or mixed numbers as instructed.

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Problem 1:


> Four Maths Rats shared seven Twinkle Chocolate Bars between them. How many bars did they have each? No remainders, please, Maths Rats do not waste chocolate! Answer as a fraction.

Solution:

Total bars = 7
Number of rats = 4
Each rat gets:
7 ÷ 4 = 7/4

We can leave it as an improper fraction or convert to a mixed number:
7/4 = 1 3/4

But the question says “Answer as a fraction” — and doesn’t specify *proper* fraction, so 7/4 is acceptable. However, since it says “no remainders” and “Maths Rats do not waste chocolate”, they likely want the exact share per rat — which is 7/4.

👉 Answer: 7/4

*(Note: If the worksheet expects mixed numbers, you could write 1 3/4 — but the instruction says “fractions or mixed numbers”, so both are fine. Since it says “fraction” in the question, we’ll go with 7/4.)*

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Problem 2:


> Seven children refreshed themselves with four litres of lemonade. They had the same amount each. How much did they have each?

Solution:

Total lemonade = 4 litres
Number of children = 7
Each child gets:
4 ÷ 7 = 4/7

👉 Answer: 4/7

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Problem 3:


> A bus travelled eight miles in three hours. What was its average speed? Give your answer as a mixed number.

Solution:

Average speed = distance ÷ time
= 8 miles ÷ 3 hours
= 8/3

Convert to mixed number:
8 ÷ 3 = 2 with remainder 2 → 2 2/3

👉 Answer: 2 2/3 miles per hour

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Problem 4:


> Car factory produces seventy cars in six hours. How many is that each hour? Give your answer as a mixed number.

Solution:

Total cars = 70
Hours = 6
Cars per hour = 70 ÷ 6 = 70/6

Simplify first: divide numerator and denominator by 2 → 35/3

Now convert to mixed number:
35 ÷ 3 = 11 with remainder 2 → 11 2/3

👉 Answer: 11 2/3 cars per hour

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Problem 5:


> An oil tank is filled with 200 litres of oil in 30 seconds. How many litres of oil per second goes into the tank? Give your answer as a mixed number.

Solution:

Litres per second = 200 ÷ 30 = 200/30

Simplify: divide numerator and denominator by 10 → 20/3

Convert to mixed number:
20 ÷ 3 = 6 with remainder 2 → 6 2/3

👉 Answer: 6 2/3 litres per second

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Problem 6:


> Ten machines made 100 tonnes of sugar in eight hours. What was the average number of tonnes of sugar made by each machine in one hour? Careful now!

Solution:

This is a two-step problem.

First, find total production per hour:
100 tonnes ÷ 8 hours = 100/8 = 25/2 = 12.5 tonnes per hour (but we’ll keep as fraction)

Then, divide by number of machines to get per machine per hour:
(25/2) ÷ 10 = (25/2) × (1/10) = 25/20

Simplify: divide numerator and denominator by 5 → 5/4

Convert to mixed number: 1 1/4

👉 Answer: 1 1/4 tonnes per machine per hour

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Problem 7:


> Mrs Smith’s family has the following number of cartons of milk on each day of the week. What was the average number of cartons per day?

| Sunday | Monday | Tuesday | Wednesday | Thursday | Friday | Saturday |
|--------|--------|---------|-----------|----------|--------|----------|
| 4 | 5 | 3 | 3 | 4 | 4 | 3 |

Solution:

Add all cartons:
4 + 5 + 3 + 3 + 4 + 4 + 3 =
Let’s compute step by step:
4+5=9, +3=12, +3=15, +4=19, +4=23, +3=26

Number of days = 7

Average = 26 ÷ 7 = 26/7

Convert to mixed number:
26 ÷ 7 = 3 with remainder 5 → 3 5/7

👉 Answer: 3 5/7 cartons per day

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## Final Answers:

1. 7/4
2. 4/7
3. 2 2/3
4. 11 2/3
5. 6 2/3
6. 1 1/4
7. 3 5/7

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Let me know if you’d like these written in a boxed format for printing or submitting! 🐭🍫
Parent Tip: Review the logic above to help your child master the concept of fraction word problem worksheet.
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