Fractions Decimals Percentages Answers
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Fractions Decimals Percentages Answers
📊 Part 1: Converting Between Forms - ANSWERS
a) 1/2 = 0.5 = 50%
b) 3/4 = 0.75 = 75%
c) 1/5 = 0.2 = 20%
d) 3/10 = 0.3 = 30%
a) 0.25 = 1/4 = 25%
b) 0.6 = 3/5 = 60%
c) 0.8 = 4/5 = 80%
a) 40% = 2/5 = 0.4
b) 90% = 9/10 = 0.9
c) 35% = 7/20 = 0.35
🛒 Part 2: Real-World Problems - ANSWERS
Working: 25% of $80 = 0.25 × $80 = $20 saved
New price: $80 - $20 = $60
Working: 3/5 of 20 = (3 ÷ 5) × 20 = 0.6 × 20 = 12 students
Working: 0.375 × 8 = 3 slices
Note: 0.375 = 3/8 as a fraction
Walk: 15% of 400 = 0.15 × 400 = 60 students
Bus: 0.6 × 400 = 240 students
Driven: 400 - 60 - 240 = 100 students
Check: 60 + 240 + 100 = 400 ✓
🧠 Part 3: Challenge Questions - ANSWERS
Convert to same form:
7/10 = 0.7 = 70%
68% = 0.68 = 17/25
Answer: 7/10 (70%) is larger than 68%
Working: 45% of 20 = 0.45 × 20 = 9 times
Convert all to decimals:
3/8 = 0.375
0.4 = 0.4
35% = 0.35
Order: 35%, 3/8, 0.4
📚 Curriculum Links & Teaching Notes
NSW Curriculum Outcomes:
• MA3.2-9WM: Uses mental and written strategies to add and subtract decimals
• MA3.2-12MG: Solves problems involving percentages
Australian Curriculum Codes:
• ACMNA126: Compare fractions and represent on number line
• ACMNA127: Investigate equivalent fractions in contexts
• ACMNA128: Compare decimals
• ACMNA130: Connect equivalent fractions, decimals, percentages
Extension Resources:
• Khan Academy: "Converting fractions to decimals & percentages"
• Coolmath.org: "Percentage Calculator Games"
Teaching Tips:
• Use visual number lines for conversions
• Break complex problems into smaller steps
• Connect to real-world contexts Hunter enjoys
• Allow calculator use for complex calculations
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