Year 9 Fractions Guide
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Year 9 Fractions Guide
🔢 Part 1: Adding and Subtracting Fractions
How to Add Fractions:
1. Find a common denominator (bottom number)
2. Convert fractions to equivalent fractions with the same denominator
3. Add the numerators (top numbers)
4. Keep the denominator the same
5. Simplify if possible
Example: 1/4 + 1/6 = 3/12 + 2/12 = 5/12
✖️ Part 2: Multiplying and Dividing Fractions
How to Multiply Fractions:
1. Multiply the numerators together
2. Multiply the denominators together
3. Simplify the result
How to Divide Fractions:
1. Keep the first fraction the same
2. Change division to multiplication
3. Flip the second fraction (reciprocal)
4. Multiply as normal
Example: 2/3 ÷ 4/5 = 2/3 × 5/4 = 10/12 = 5/6
🔄 Part 3: Converting Between Forms
Converting Improper Fractions to Mixed Numbers:
1. Divide the numerator by the denominator
2. The whole number is your answer
3. The remainder becomes the new numerator
4. Keep the same denominator
Example: 17/5 = 3 2/5 (because 17 ÷ 5 = 3 remainder 2)
a) 23/7 = ____________
b) 19/4 = ____________
c) 31/6 = ____________
a) 4 2/3 = ____________
b) 2 5/8 = ____________
c) 6 1/4 = ____________
a) 3/8 = ____________
b) 7/12 = ____________
📊 Part 4: Real-World Fraction Problems
Problem-Solving Steps:
1. Read the problem carefully
2. Identify what operation is needed
3. Set up the calculation
4. Solve step by step
5. Check if your answer makes sense
🎯 Part 5: Challenge Problems
Hint: Use order of operations - brackets first!
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