🧮 Day 1 Math: Mixed Fraction Operations (分数混合运算)
Hello, Sisi! Today we will learn about fraction multiplication 分数乘法 and fraction division 分数除法. This is a key topic for P6 Math and the PSLE exam!
📚 Key Vocabulary (重点词汇)
🔹 Part 1: Fraction Multiplication (分数乘法)
To multiply fractions 乘分数, we follow a simple rule:
📌 The Rule (规则)
Multiply the numerators(分子乘分子), then multiply the denominators(分母乘分母).
💡 Example (例题)
Q: Calculate 2/3 × 4/5
A:
- Numerators: 2 × 4 = 8
- Denominators: 3 × 5 = 15
- Answer = 8/15 (already in lowest terms)
🎮 Interactive Demo: See the Rule! (互动演示)
Click the button to watch the numbers move(移动)!
🔹 Part 2: Fraction Division (分数除法)
To divide fractions 除分数, we use the “flip and multiply”(颠倒相乘)method:
📌 The 3 Steps (三步法)
Step 1: Keep the first fraction as it is(保持不变)
Step 2: Change ÷ to ×, then flip the second fraction (reciprocal)(颠倒求倒数)
Step 3: Multiply as usual!(照常相乘!)
💡 Example (例题)
Q: Calculate 3/4 ÷ 2/3
A:
- Step 1: Keep 3/4
- Step 2: Change to × and flip → 3/4 × 3/2
- Step 3: 3 × 3 = 9, 4 × 2 = 8
- Answer = 9/8 = 1 1/8 (mixed number)
🎮 Interactive Demo: Flip & Multiply! (颠倒相乘演示)
🔹 Part 3: Simplifying Answers (化简答案)
Always simplify 化简 your answer to the lowest terms 最简分数! If the numerator is bigger than the denominator, convert to a mixed number(带分数).
📌 How to Simplify (如何化简)
Find the HCF(最大公约数)of the numerator and denominator, then divide both by it.
Example: 6/8 → HCF of 6 and 8 is 2 → 3/4 ✅
🔹 Part 4: Practice Questions (练习题)
Q1: What is 1/4 × 1/2 = ?
Q2: What is 2/3 ÷ 1/3 = ?
Q3: Simplify 4/6 = ?
📝 Summary (本节总结)
- ✅ Multiply: Numerator × Numerator, Denominator × Denominator(分子乘分子,分母乘分母)
- ✅ Divide: Keep, Flip, Multiply(保持,颠倒,相乘)
- ✅ Always simplify(化简) to lowest terms
- ✅ Convert to mixed number(带分数) if numerator > denominator