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Year 6 Fractions Answers
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Year 6 Fractions Answers
📚 Part A: Numerator and Denominator - ANSWERS
1. Label the numerator and denominator in 3/5.
Answer: Numerator = 3, Denominator = 5
Explanation: The top number (3) is the numerator - it shows how many parts we have. The bottom number (5) is the denominator - it shows how many equal parts the whole is divided into.
2. Write the numerator and denominator for 7/8.
Answer: Numerator = 7, Denominator = 8
Explanation: In any fraction, the top number is always the numerator and the bottom number is always the denominator.
3. In the fraction 2/3, which number tells us how many parts the whole is divided into?
Answer: 3 (the denominator)
Explanation: The denominator always tells us the total number of equal parts in the whole.
4. What does the numerator 4 tell us in the fraction 4/9?
Answer: It tells us we have 4 parts out of 9 total parts
Explanation: The numerator shows how many parts we are counting or taking from the whole.
🔄 Part B: Equivalent Fractions - ANSWERS
5. Write two equivalent fractions for 1/3.
Answer: 2/6 and 3/9 (or 4/12, 5/15, etc.)
Working: 1/3 = (1×2)/(3×2) = 2/6 and 1/3 = (1×3)/(3×3) = 3/9
Explanation: To find equivalent fractions, multiply both numerator and denominator by the same number.
6. True or False: 2/6 is equivalent to 1/3.
Answer: True
Working: 2/6 = (2÷2)/(6÷2) = 1/3
Explanation: Both fractions represent the same amount - one third of a whole.
7. Fill in the missing number: 3/4 = ___/8
Answer: 6
Working: 3/4 = (3×2)/(4×2) = 6/8
Explanation: The denominator changed from 4 to 8 (×2), so the numerator must also be multiplied by 2.
8. Which fraction is NOT equivalent to 1/2?
Answer: Check student's choice - look for the fraction that doesn't equal 1/2
Equivalent to 1/2: 2/4, 3/6, 4/8, 5/10
NOT equivalent: Any fraction like 1/3, 2/5, 3/7, etc.
➕ Part C: Adding Fractions - ANSWERS
9. What is 3/8 + 2/8?
Answer: 5/8
Working: 3/8 + 2/8 = (3+2)/8 = 5/8
Explanation: When denominators are the same, add the numerators and keep the denominator.
10. Add 1/2 + 1/4 by first finding equivalent fractions.
Answer: 3/4
Working: 1/2 = 2/4, so 2/4 + 1/4 = 3/4
Explanation: Convert 1/2 to quarters first (1/2 = 2/4), then add normally.
11. Calculate: 2/5 + 1/5
Answer: 3/5
Working: 2/5 + 1/5 = (2+1)/5 = 3/5
Explanation: Same denominators, so add numerators: 2 + 1 = 3.
12. Add 1/3 + 1/6 (Hint: Convert to sixths first)
Answer: 3/6 = 1/2
Working: 1/3 = 2/6, so 2/6 + 1/6 = 3/6 = 1/2
Explanation: Convert 1/3 to sixths (1/3 = 2/6), then add. Simplify 3/6 to 1/2.
🎯 Teaching Tips for Parents
Common Mistakes to Watch For:
• Adding denominators when adding fractions (e.g., 1/4 + 1/4 = 2/8 ❌)
• Confusing numerator and denominator positions
• Not converting to common denominators before adding
Extension Activities:
• Use pizza slices or chocolate bars to visualise fractions
• Try Khan Academy's "Fractions" section for interactive practice
• Practice with cooking - measuring ingredients uses fractions!
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