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Rational Fractions Y7&8 Worksheet

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Rational Fractions Y7&8 Worksheet

Rational Fractions Y7&8 Worksheet

Fraction circles and mathematical symbols

🔢 Part 1: Understanding Rational Fractions

1. Circle the fractions that are rational numbers:

3/4

-2/5

7/0

0/8

15/3

2. Write these mixed numbers as improper fractions:

a) 2 1/3 = _______

b) 4 2/5 = _______

c) 1 3/8 = _______

3. Convert these improper fractions to mixed numbers:

a) 11/4 = _______

b) 17/6 = _______

c) 23/7 = _______

➕ Part 2: Adding and Subtracting Fractions

4. Add these fractions with the same denominator:

a) 2/7 + 3/7 = _______

b) 5/9 + 1/9 = _______

c) 4/11 + 6/11 = _______

5. Subtract these fractions:

a) 7/8 - 3/8 = _______

b) 5/6 - 2/6 = _______

c) 9/10 - 4/10 = _______

6. Add these fractions with different denominators:

a) 1/2 + 1/4 = _______

b) 2/3 + 1/6 = _______

c) 3/5 + 1/10 = _______

7. Subtract these fractions with different denominators:

a) 3/4 - 1/8 = _______

b) 5/6 - 1/3 = _______

c) 7/10 - 2/5 = _______

✖️➗ Part 3: Multiplying and Dividing Fractions

8. Multiply these fractions:

a) 2/3 × 3/4 = _______

b) 1/5 × 2/7 = _______

c) 3/8 × 4/9 = _______

9. Divide these fractions:

a) 2/5 ÷ 1/3 = _______

b) 3/4 ÷ 2/7 = _______

c) 5/6 ÷ 3/8 = _______

10. Which method is correct for dividing fractions?

Multiply by the reciprocal of the second fraction

Add the numerators and denominators

Subtract the second fraction from the first

Multiply the denominators only

📊 Part 4: Equivalent Fractions and Simplifying

11. Find three equivalent fractions for each:

a) 1/2 = _____ = _____ = _____

b) 2/3 = _____ = _____ = _____

c) 3/4 = _____ = _____ = _____

12. Simplify these fractions to their lowest terms:

a) 12/18 = _______

b) 15/25 = _______

c) 24/36 = _______

d) 20/30 = _______

13. Match the fractions with their simplified forms:
1. 8/12
2. 10/15
3. 6/9
4. 14/21
A. 2/3
B. 2/3
C. 2/3
D. 2/3

🏠 Part 5: Real-World Applications

14. Sarah ate 2/8 of a pizza and Tom ate 3/8 of the same pizza. How much pizza did they eat altogether?

Answer: ____________

15. A recipe calls for 3/4 cup of flour. If you want to make half the recipe, how much flour do you need?

Answer: ____________

16. James ran 2/3 of a kilometre on Monday and 1/4 of a kilometre on Tuesday. How far did he run in total?

Answer: ____________

17. A chocolate bar is divided into 12 equal pieces. If you eat 1/3 of the bar, how many pieces did you eat?

Answer: ____________

🎯 Part 6: Comparing and Ordering Fractions

18. Use <, >, or = to compare these fractions:

a) 2/5 _____ 3/7

b) 4/9 _____ 5/12

c) 3/8 _____ 6/16

d) 7/10 _____ 2/3

19. Order these fractions from smallest to largest:

1/2, 3/8, 5/6, 2/3

Answer: _______ < _______ < _______ < _______

20. Which fraction is closest to 1/2?

3/7

4/9

5/11

6/13

💭 Part 7: Problem Solving and Reasoning

21. Explain in your own words what makes a fraction a rational number:
22. Draw a diagram to show why 1/2 + 1/4 = 3/4:
23. A class of 24 students voted on their favourite subject. 1/3 chose Maths, 1/4 chose Science, and 1/6 chose English. How many students chose each subject? How many students chose other subjects?

Maths: _____ students

Science: _____ students

English: _____ students

Other subjects: _____ students

24. Create your own word problem involving adding fractions with different denominators:

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