🔢 Part 1: Equivalent Fractions and Simplification

1. Circle the fraction that is equivalent to 1/2:

3/8

4/8

5/8

6/8

2. Simplify these fractions to their lowest terms:

a) 6/8 = _______

b) 9/12 = _______

c) 15/20 = _______

d) 10/25 = _______

3. Find three equivalent fractions for 2/3:

4. Show your working to simplify 18/24:

🔄 Part 2: Mixed Numbers and Improper Fractions

5. Convert these improper fractions to mixed numbers:

a) 7/4 = _______

b) 11/3 = _______

c) 23/5 = _______

d) 17/6 = _______

6. Convert these mixed numbers to improper fractions:

a) 2 1/3 = _______

b) 3 2/5 = _______

c) 1 4/7 = _______

d) 4 3/8 = _______

7. Show your working to convert 5 2/3 to an improper fraction:

➕➖ Part 3: Adding and Subtracting Fractions

8. Calculate these fraction additions (show your working):

a) 1/4 + 1/3 = _______

b) 2/5 + 1/6 = _______

9. Calculate these fraction subtractions (show your working):

a) 3/4 - 1/6 = _______

b) 5/6 - 2/9 = _______

10. Circle the correct answer for 1/3 + 1/4:

2/7

7/12

4/12

1/12

🔄 Part 4: Converting Between Fractions, Decimals and Percentages

11. Complete this conversion table:

Fraction | Decimal | Percentage

1/2 | _______ | _______

1/4 | _______ | _______

3/5 | _______ | _______

_______ | 0.75 | _______

_______ | _______ | 20%

12. Match the equivalent forms:

1. 1/5

2. 3/4

3. 2/5

4. 1/8

A. 75%

B. 0.2

C. 40%

D. 0.125

13. Convert 7/8 to a decimal and percentage. Show your working:

🍕 Part 5: Real-World Problems

14. Sarah ate 2/3 of a pizza and Tom ate 1/4 of the same pizza. What fraction of the pizza did they eat altogether?

Answer: _____________

15. A recipe calls for 1 1/2 cups of flour. If you want to make half the recipe, how much flour do you need?

Answer: _____________

16. In a class of 24 students, 3/8 are boys. How many boys are in the class?

Answer: _____________

17. A water tank is 5/6 full. If 1/4 of the tank's capacity is used, what fraction of the tank remains?

Answer: _____________

18. Check all the statements that are true:

1/2 is greater than 2/5

3/4 equals 0.75

2/3 is equivalent to 4/6

5/8 is less than 1/2

🎨 Part 6: Visual Representation

19. Draw a number line from 0 to 2 and mark the positions of 1/2, 3/4, 1 1/4, and 1 3/4:

20. Draw two circles. Shade 2/3 of the first circle and 3/4 of the second circle. Which fraction is larger?

The larger fraction is: _____________

21. Explain in your own words why 1/2 and 2/4 are equivalent fractions:

Year 9 Fractions

Year 9 Fractions

🔢 Part 1: Equivalent Fractions and Simplification

🔄 Part 2: Mixed Numbers and Improper Fractions

➕➖ Part 3: Adding and Subtracting Fractions

🔄 Part 4: Converting Between Fractions, Decimals and Percentages

🍕 Part 5: Real-World Problems

🎨 Part 6: Visual Representation

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