📚 Learning Guide: Conversion Methods

🎯 WALT: Convert between fractions, decimals, and percentages

Quick Reference - Conversion Steps:

Fraction → Decimal: Divide the top number by the bottom number
Example: ¼ = 1 ÷ 4 = 0.25

Decimal → Percentage: Multiply by 100 and add %
Example: 0.25 × 100 = 25%

Percentage → Decimal: Divide by 100
Example: 25% ÷ 100 = 0.25

Decimal → Fraction: Write as fraction over 10, 100, or 1000, then simplify
Example: 0.25 = 25/100 = ¼

💡 Memory Tip: Think of 50% = ½ = 0.5 as your anchor point!

✏️ Part 1: Basic Conversions

a) ½ = _______

b) ¼ = _______

c) ¾ = _______

d) ⅕ = _______

a) 0.6 = _______

b) 0.35 = _______

c) 0.08 = _______

d) 0.9 = _______

a) 45% = _______

b) 12% = _______

c) 80% = _______

d) 5% = _______

🛒 Part 2: Real-World Problems

You will save: $__________

Number of students: __________

Percentage made: __________%

Final price: $__________

⅗ → _______ (decimal) → _______ (percentage) → _______ (simplified fraction)

📋 Answer Sheet

Part 1 Answers:

1. a) 0.5 b) 0.25 c) 0.75 d) 0.2

2. a) 60% b) 35% c) 8% d) 90%

3. a) 0.45 b) 0.12 c) 0.8 d) 0.05

4. All options are correct!

Part 2 Answers:

5. $15 (25% of $60 = 0.25 × 60 = $15)

6. 18 students (75% of 24 = 0.75 × 24 = 18)

7. 72% (18 ÷ 25 = 0.72 = 72%)

8. $828 (Step 1: $800 + 15% = $920, Step 2: $920 - 10% = $828)

9. ⅗ → 0.6 → 60% → ⅗

🌟 Curriculum Links: MA3.2-9WM, MA3.2-12MG, ACMNA126-130

📚 Extra Practice: Khan Academy "Fractions, Decimals & Percentages" or Coolmath.org