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Fractions, Decimals & Percentages

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Fractions, Decimals & Percentages

Fractions, Decimals & Percentages

Shopping and mathematics illustration

🔢 Part 1: Converting Between Fractions, Decimals & Percentages

1. Complete the conversion table:

Fraction | Decimal | Percentage

1/2 | _______ | _______

_______ | 0.25 | _______

_______ | _______ | 75%

3/5 | _______ | _______

_______ | 0.8 | _______

2. Circle the largest value in each group:

Group A:

0.6
3/5
58%

Group B:

0.75
4/5
70%

3. Order these values from smallest to largest:

0.3, 1/4, 35%, 2/5, 0.45

➕ Part 2: Operations with Fractions & Decimals

4. Calculate the following. Show your working:

a) 1/3 + 1/6 =

b) 3/4 - 1/8 =

c) 2.5 + 1.75 =

d) 4.8 - 2.35 =

5. Which operations are correct? Check all that apply:

1/2 + 1/4 = 3/4

0.6 + 0.3 = 0.9

3/5 - 1/5 = 2/5

2.7 - 1.2 = 1.5

📝 Part 3: Word Problems

6. Sarah ate 2/5 of a pizza and Tom ate 1/4 of the same pizza. What fraction of the pizza did they eat altogether?
7. A shop is offering a 25% discount on a jacket that costs $80. How much will the jacket cost after the discount?
8. In a class of 24 students, 0.75 of them passed the maths test. How many students passed?
9. A recipe calls for 1.5 cups of flour, but you want to make 2/3 of the recipe. How much flour do you need?

🛒 Part 4: Real-Life Shopping Challenge

10. Step-by-Step Example: Let's work through a shopping receipt together!

Example Receipt - "Fresh Foods Market"

• Apples: 1.5 kg at $3.20 per kg = $4.80

• Bread: 2 loaves at $2.50 each = $5.00

• Milk: 1 bottle at $3.75 = $3.75

• Subtotal: $13.55

• Student discount (15%): -$2.03

Total: $11.52

Step 1: Calculate subtotal: 4.80 + 5.00 + 3.75 = $13.55

Step 2: Calculate discount: 15% of $13.55 = 0.15 × 13.55 = $2.03

Step 3: Final total: $13.55 - $2.03 = $11.52

11. Now create your own shopping receipt! Include at least 4 items with prices using decimals:

Your Shop Name: _________________________

12. Calculate your shopping totals:

a) What is your subtotal? Show your addition:

b) Apply a 20% discount. Calculate the discount amount:

c) What is your final total after the discount?

13. Express your discount as a fraction in its simplest form:

20% = _____ (as a fraction)

14. If you paid with a $50 note, how much change would you receive? Express your answer as a decimal:

🎯 Part 5: Self-Assessment & Challenge

15. Check your shopping receipt calculations using a different method:

Alternative method: Instead of calculating 20% discount, calculate 80% of the original price directly.

Does this give you the same final total? ____________

16. Challenge: If the shop offered 1/3 off instead of 20% off, which discount would save you more money?
17. Reflection: Circle how confident you feel about converting between fractions, decimals, and percentages:

Very confident - I can do this easily!

Quite confident - I understand most of it

Getting there - I need a bit more practice

Need help - I'd like to go over this again

18. Write one real-life situation where you might need to convert between fractions, decimals, and percentages:

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